Simulate a blackbody spectrum of temperature 900 Kelvin. Determine the peak wavelength in nanometers of an object of that temperature nanometers What is the emissive intensity of the object (the amount of power emitted per unit area )? ×10 W/m 2

Answers

Answer 1

A blackbody spectrum of temperature 900 Kelvin has been simulated. The peak wavelength in nanometers of an object of that temperature is determined to be nanometers. The intensity of the blackbody radiation at a given temperature and wavelength can be determined using Planck's law.

Planck's law, which describes the intensity of blackbody radiation, is given byI(λ) = 2hc²λ⁻⁵[exp(hc/λkT) - 1]⁻¹Where c = speed of light, h = Planck's constant, k = Boltzmann constant, T = temperatureλ = wavelength of lightI (λ) = spectral radiant intensity expressed in watts per square metre per unit wavelength.

Simulating the blackbody spectrum for a temperature of 900 K:

Using the equation for peak wavelength λ_max = 2897/T nm, where T = 900 KTherefore,λ_max = 2897/900λ_max = 3.22 µm or 3220 nm.

The emissive intensity of the object (the amount of power emitted per unit area) is given asI = σT⁴, where σ is the Stefan-Boltzmann constant.

Therefore,I = σT⁴ = 5.67 × 10⁻⁸ × (900)⁴W/m²= ×10 W/m².

Hence, the emissive intensity of the object is ×10 W/m².

Learn more about blackbody radiation here ;

https://brainly.com/question/13235508

#SPJ11


Related Questions

what is the magnitude of the average collision force exerted on the object?

Answers

The magnitude and direction of the average collision force exerted on the object depend on the type of object and the type of force it experiences.

For example, if the object experiences a constant force, the magnitude of the force will be equal to the force applied and the direction will be the same as the direction of the applied force.

On the other hand, if the object is subjected to a variable force, the magnitude of the force will vary depending on the magnitude and direction of the applied force, and the direction will be the same as the direction of the applied force. In either case, the magnitude and direction of the average collision force can be determined using the equation F = ma, where F is the force, m is the mass of the object, and a is the acceleration of the object.

know more about Collision force here

brainly.com/question/14881970#

#SPJ11

Describe the additive inverse of a vector, (Vi, V2, V3, VA, V5 s) in the vector space.

Answers

The additive inverse of a vector in a vector space refers to another vector that, when added to the original vector, results in a zero vector. In other words, the additive inverse cancels out the original vector's effects.

For a vector (V1, V2, V3, ..., Vn) in a vector space, its additive inverse is represented as (-V1, -V2, -V3, ..., -Vn). Each component of the original vector is negated in the additive inverse. When the original vector and its additive inverse are added together, component-wise, the result is a vector with all elements being zero.

For example, if we have a vector (2, -5, 1), its additive inverse would be (-2, 5, -1). When we add these two vectors together, (2, -5, 1) + (-2, 5, -1), we get the zero vector (0, 0, 0). The additive inverse of a vector plays an important role in vector operations and properties within a vector space.

Learn more about vector operations here:  

https://brainly.com/question/6993144

#SPJ11

a 0.125 m solution of a weak base has a ph of 11.26.

Answers

A 0.125 M solution of a weak base has a pH of 11.26.

pH is a measure of the acidity or alkalinity of a solution and is defined as the negative logarithm (base 10) of the hydrogen ion concentration. A pH value above 7 indicates alkalinity, while a pH below 7 indicates acidity. In this case, the pH of the solution is 11.26, which indicates that the solution is alkaline. The fact that it is a weak base suggests that it does not completely dissociate in water and only produces a small concentration of hydroxide ions (OH-). The pH value of 11.26 corresponds to a relatively high concentration of hydroxide ions, indicating the basic nature of the solution. The concentration of the weak base itself is given as 0.125 M, which provides information about the amount of the base present in the solution.

To know more about pH, visit:

https://brainly.com/question/2288405

#SPJ11

a fixed system of charges exerts a force of magnitude

Answers

A fixed system of charges exerts a force of magnitude that is proportional to the product of the charges' magnitudes and inversely proportional to the square of the distance between them. This force is known as the Coulomb force.

The force that a fixed system of charges exerts on another fixed system of charges is known as the Coulomb force, which is described by Coulomb's law, which is expressed as F = kq₁q₂/r², where F is the force, k is Coulomb's constant (9.0 x 10⁹ Nm²/C²), q₁ and q₂ are the two point charges, and r is the distance between them. This force is inversely proportional to the square of the distance between the charges, and it is proportional to the product of the charges' magnitudes.

Two point charges exert a force of 9.0 x 10⁹ N on one another. The charges have opposite signs, which indicates that they are of opposite polarity. The force between two point charges is described by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Coulomb's law states that two charged objects will experience an electrical force between them proportional to the quantity of electric charge on each object and inversely proportional to the distance between them. The forces that two point charges exert on one another are proportional to the product of their magnitudes, and the magnitude of this force is also proportional to the inverse square of the distance between them.

Coulomb's law can be used to explain the behavior of electrostatic forces in situations where there are two or more charges present. The force on a charged particle due to other charged particles is simply the vector sum of the forces exerted by each individual charge on that particle.

In conclusion, a fixed system of charges exerts a force of magnitude that is proportional to the product of the charges' magnitudes and inversely proportional to the square of the distance between them. This force is known as the Coulomb force, and it is described by Coulomb's law. Coulomb's law is used to describe the behavior of electrostatic forces in situations where there are two or more charges present.

To know more about force visit:

brainly.com/question/30507236

#SPJ11

a given amount of heat energy can be completely converted to mechanical energy in

Answers

A given amount of heat energy cannot be completely converted to mechanical energy in any process. According to the laws of thermodynamics, there will always be some energy loss in the form of waste heat during any energy conversion process.

The second law of thermodynamics states that in any closed system, the total entropy (a measure of energy dispersal or disorder) always increases or remains constant. This means that when converting heat energy to mechanical energy, some of the heat energy will always be lost as waste heat, resulting in a decrease in the efficiency of the conversion process.

Efficiency is defined as the ratio of useful work or mechanical energy output to the total energy input. Due to the inherent limitations imposed by the laws of thermodynamics, the efficiency of converting heat energy to mechanical energy is always less than 100%. Therefore, it is not possible to completely convert heat energy into mechanical energy without any energy loss.

Learn more about thermodynamics states visit:

brainly.com/question/12937141

#SPJ11

what is the formula for determining the number of kanban cards or containers?

Answers

The formula for determining the number of Kanban cards or containers is:

Number of Kanban cards/containers = (Demand rate × Lead time) / Container size

In this formula:

Demand rate: The demand rate represents the average rate at which items or parts are consumed or required by the downstream process or customer. It is usually measured in units per time period (e.g., items per day).

Lead time: Lead time refers to the time required to replenish or produce a new batch of items once the stock or containers are empty. It includes the time for processing, manufacturing, transportation, and any other activities necessary to fulfill the demand.

Container size: The container size represents the number of items or parts that can be held within a single Kanban container. It is usually predetermined based on factors such as production efficiency, handling capabilities, and storage space.

By using this formula, organizations can determine the optimal number of Kanban cards or containers needed to maintain a smooth flow of materials or parts within the production or supply chain process. It ensures that the right amount of inventory is available to meet demand while minimizing waste and excess inventory.

To know more about time period, visit:

https://brainly.com/question/32509379

#SPJ11

what is the angle of the m = 2 bright fringe in radians?

Answers

To determine the angle of the m = 2 bright fringe in radians, we need to consider the equation for fringe spacing in a double-slit interference pattern:

d sin(θ) = mλ

Where:

d is the slit separation (distance between the centers of the two slits),

θ is the angle of the bright fringe,

m is the order of the fringe (in this case, m = 2), and

λ is the wavelength of the light.

Since we are interested in finding the angle θ, we can rearrange the equation as follows:

θ = arcsin(mλ / d)

To calculate the angle in radians, we need to ensure that the input values (mλ and d) are in consistent units. Once we have the angle in radians, we can use it for further calculations or analysis.

Please note that in this response, I have provided the general equation for determining the angle of a bright fringe. However, the specific values for m, λ, and d would need to be provided in order to calculate the angle accurately.

To know more about wavelength, visit

https://brainly.com/question/3114385

#SPJ11

The leading explanation for the existence of spiral arms are:

Answers

The leading explanation for the existence of spiral arms in galaxies is the **density wave theory**.

According to the density wave theory, spiral arms are not fixed structures but rather dynamic patterns that result from density waves propagating through the galactic disk. These waves cause regions of higher density and compression, leading to the formation of the spiral arms.

The theory suggests that as gas and stars move through the galactic disk, they are subjected to gravitational perturbations from neighboring objects or asymmetries in the gravitational field. These perturbations create wave-like patterns that move through the disk, causing regions of compression and enhanced star formation, which manifest as the bright arms we observe.

The density wave theory explains the persistence and relatively stable appearance of spiral arms over long periods. It also accounts for the observed differential rotation of stars within a galaxy, with stars moving faster or slower as they pass through the spiral arms.

While the density wave theory is the leading explanation, other factors such as interactions between galaxies and the effects of magnetic fields can also play a role in shaping and maintaining spiral arms. Ongoing research continues to refine our understanding of the mechanisms behind the formation and dynamics of these beautiful structures in galaxies.

To know more about density wave theory, visit: https://brainly.com/question/23376193

#SPJ11

conversations with astronauts on the lunar surface were charcterized by a kind of echo in which the earthbound person's voice ws so loud in the astronaut's spa

Answers

During conversations with astronauts on the lunar surface, there was a unique phenomenon known as the "echo effect." This effect occurred due to the absence of atmosphere on the Moon, which resulted in sound waves behaving differently compared to on Earth.

On Earth, sound waves travel through the air and bounce off objects, creating echoes. However, on the Moon, there is no air or atmosphere to carry sound waves. As a result, when an earthbound person communicated with an astronaut on the lunar surface, their voice would seem loud and clear to the astronaut.

The absence of atmospheric attenuation on the Moon allowed the sound waves to travel directly to the astronaut's ears without any loss of energy. This made the earthbound person's voice appear louder in the astronaut's space helmet.

Furthermore, the lack of atmosphere also meant that there were no obstacles or objects for the sound waves to bounce off of, which eliminated any potential echoes. This gave conversations on the lunar surface a unique characteristic, where the astronaut would only hear the direct transmission of the earthbound person's voice without any reverberations.

In conclusion, conversations with astronauts on the lunar surface were characterized by a kind of echo in which the earthbound person's voice was loud in the astronaut's space helmet due to the absence of atmosphere on the Moon. This lack of atmospheric attenuation allowed for clear and direct communication between the two parties.

To know more about energy visit:

https://brainly.com/question/1932868

#SPJ11

Currently, fossil fuels meet most of the energy needs of the United States. Research possible renewable energy sources, costs, and challenges for wide usage. Case to consider: Ice storms knocked out nearly half the wind-power generating capacity of Texas on Sunday as a rare deep freeze across the state locked up turbine towers in February 2021.
Would any specific renewable source will dominate as fossil fuels do today? If your answer is yes, which type of energy would be? What are the advantages and disadvantages of this renewable energy? Are we ready to count on renewable energy now? Would you be willing to pay a possible high price for renewable energy now?

Answers

Currently, fossil fuels dominate the energy sector in the United States, but there is a growing shift towards renewable energy sources. Several renewable energy sources have the potential to play a significant role in meeting the country's energy needs.

Wind Energy: Wind power has been one of the fastest-growing renewable energy sources. It is clean, abundant, and widely available. However, it is intermittent and dependent on wind patterns, as highlighted by the Texas ice storms. Advancements in wind turbine technology and grid integration are addressing some challenges. The cost of wind energy has been decreasing, and it has the potential to become a dominant renewable source. Solar Energy: Solar power is another promising renewable energy source. Solar panels generate electricity from sunlight and can be installed on rooftops, solar farms, and other suitable locations. Solar energy is abundant, environmentally friendly, and becoming more cost-effective. However, it is also intermittent and dependent on weather conditions. Hydropower: Hydropower harnesses the energy of flowing or falling water to generate electricity. It is a mature technology with a long history of use. Large-scale hydropower projects provide reliable and consistent energy, but they can have significant environmental and social impacts, such as the displacement of communities and alteration of ecosystems. Geothermal Energy: Geothermal power utilizes the Earth's heat to generate electricity and heat buildings. It is a constant and reliable source of energy. However, it is location-dependent, and the exploration and drilling costs can be high.

Biomass Energy: Biomass energy involves using organic matter, such as agricultural residues or dedicated energy crops, to produce heat or electricity. It has the advantage of utilizing waste materials and reducing greenhouse gas emissions. However, concerns exist regarding the sustainability of biomass feedstocks and potential competition with food production. It is difficult to predict which specific renewable energy source will dominate as fossil fuels do today. The most likely scenario is a diverse mix of renewable sources, as different regions and energy needs require tailored solutions. This mix would include a combination of wind, solar, hydropower, geothermal, and biomass energy.

Advantages of renewable energy include reduced greenhouse gas emissions, improved air quality, and long-term sustainability. However, challenges remain, such as intermittency, storage, grid integration, and initial investment costs. Technological advancements and supportive policies are crucial for overcoming these challenges.

Learn more about Solar Energy here:

https://brainly.com/question/29751882

#SPJ11

Which answer is correct
The ITCZ is the convergence of: A. Polar Easterlies B. Westerlies C. Tropical Easterlies D. Tropical Westerlies Reset Selection

Answers

The ITCZ is the convergence of: The correct answer is C. Tropical Westerlies

The Intertropical Convergence Zone (ITCZ) is a region near the Earth's equator where trade winds from the Northern and Southern Hemispheres converge. It is characterized by low-level atmospheric convergence and uplift, resulting in the formation of clouds, thunderstorms, and heavy rainfall. The convergence in the ITCZ is primarily driven by the meeting of the trade winds, which are the prevailing winds that blow from the subtropical high-pressure zones towards the equator. In the Northern Hemisphere, the trade winds blow from the northeast and are known as the Northeast Trades. In the Southern Hemisphere, they blow from the southeast and are called the Southeast Trades.

These trade winds, also known as the Tropical Easterlies, play a key role in the formation and movement of the ITCZ. As they converge near the equator, the warm, moist air rises, leading to the formation of convective clouds and precipitation. Therefore, option C, Tropical Easterlies, is the correct answer as it accurately identifies the winds that converge in the Intertropical Convergence Zone (ITCZ).

Learn more about Intertropical Convergence Zone (ITCZ)  here:

https://brainly.com/question/32258091

#SPJ11

Alexander von Humboldt (1769-1859) was an influential figure in geography. All of the following are true except: He stimulated the adoption of measurement and observation in various expeditions and surveys throughout the world. He stimulated geographical measurement and observation. His four volume work, Cosmos, was so named because it implied order. He contrived how maps show where social deviance occurs so that the deviance can be understood, controlled, and negated. None of the above.

Answers

Alexander von Humboldt (1769-1859) was an influential figure in geography. All of the following are true except: He contrived how maps show where social deviance occurs so that the deviance can be understood, controlled, and negated.

The statement which is not true for Alexander von Humboldt is that he contrived how maps show where social deviance occurs so that the deviance can be understood, controlled, and negated. Alexander von Humboldt was a German geographer, geologist, and explorer, who is known for his contribution to the understanding of nature and how it works.The other statements are true in relation to Alexander von Humboldt:He stimulated geographical measurement and observation.He stimulated the adoption of measurement and observation in various expeditions and surveys throughout the world.His four-volume work, Cosmos, was so named because it implied order.

Learn more about social deviance here ;

https://brainly.com/question/7227485

#SPJ11

Which is formed from two pieces of different metals stuck together lengthwise?

bimetallic coil
coolant
heat pump
furnace

Answers

The term that is formed from two pieces of different metals stuck together lengthwise is bimetallic coil.

What is a bimetallic coil-A bimetallic coil is an essential component of many temperature control devices. Bimetallic coils are also known as bimetallic strips, and they are made up of two different types of metal bonded together and wound into a coil shape.Bimetallic coils are used to create a temperature-sensitive sensor that can open and close a circuit as temperatures rise or fall. This capability allows bimetallic coils to be used in a variety of devices, including thermostats, heat pumps, and furnace limit switches.The structure of bimetallic coils : A bimetallic strip is made up of two separate metals that are bonded together. These metals have different coefficients of thermal expansion, which means that they expand and contract at different rates as the temperature changes.When the bimetallic coil is exposed to heat, the metal with the lower coefficient of thermal expansion will expand more than the metal with the higher coefficient of thermal expansion.

This causes the bimetallic strip to bend, which can be used to open or close a circuit.In summary, bimetallic coils are temperature-sensitive sensors used to regulate the temperature of devices. The bimetallic coil is formed by bonding two different metals together and winding them into a coil shape.

for such more questions on  metals

https://brainly.com/question/29310388

#SPJ8

Other Questions
Convert each of the following linear programs to standard form. a) minimize 2x + y + z subject to x + y 3 y + z 2 b) maximize x1 x2 6x3 2x4 subject to x1 + x2 + x3 + x4 = 3 x1, x2, x3, x4 1 c) minimize w + x y z subject to w + x = 2 y + z = 3 w, x, y, z 0 The company paid $23,000 on their accounts payable during the year. Record the entry.The company made sales of merchandise (inventory) to customers for a total $240,000 The sales were made half on credit, and half in cash. The inventory sold had originally Inv cost the company $90,000 (hint #1: this is your cost of goods sold expense). (hint #2: you should use 5 accounts to record entry).7)The company provided the services associated with the Unearned Revenues balance atthe beginning of the year. Record the adjustment necessary for the year 2022.8)At December 31, the company had earned $42,000 in tax consulting revenue, but had notyet received payment from their customer. Record the adjustment necessary at December31, 2022. (use service revenue)9)On December 31, received $25,000 in cash representing advance payment for services tobe provided in February of 2023. Record the journal entry necessary on December 31,2022.10)The building has a useful life of 30 years and no salvage value. The equipment has auseful of 10 years and has a $30,000 salvage value. Record the adjustments necessary atDecember 31, 2022 (record the entire year's depreciation for both the building andequipment).11)Taxes for the year totaled $25,000. The taxes will be paid next year. Record theadjustment necessary at December 31, 2022.12)The owners withdrew $4,000 for personal use on December 31, 2022. Record theowners' withdrawal. For the following independent situations, provide:Issue that is the main concern of the situation (going concern, scope, GAAP, etc. problem)Your reasoning for choosing this issue (this is usually the definition of the issue)The Effect on the audit report including type of opinion and any modifications1. Kieko Corporation has prepared financial statements but has decided to exclude the statement of cash flows. Management explains to you that the users of their financial statements find this statement confusing and prefer not to have it included.Issue:Reason:Effect:2. Jet Stream Airlines has been audited by your firm for ten years. In the past three years their financial condition had steadily declined. In the current year, for the first time, the current ration is below 2.1, which is the minimum requirement specified in Jet Streams major loan agreement.Issue:Reason:Effect:3. Approximately 20 percent of the audit of Fur Farms, Inc., was performed by a different CPA firm, selected by you. You have reviewed their working papers and believe they did an excellent job on their portion of the audit. Nevertheless, you are unwilling to take complete responsibility for their work.Issue:Reason:Effect: (Your answer will be a fraction. In the answer box write isas a decimal rounded to two place.)2x+8+4x = 22X =Answer Draw a graph of the market for heaters in a town after a snow storm. Assume the equilbrium price is $360 and the equilibrium quantity is 100 heaters. Assume a free market for heaters after the storm would have a new equilibrium price of $1000 and new equilibrium quantity of 3000 heaters. Assume the marginal benefit of the 100th heater after the storm is $2500. Draw the supply and demand curves and draw how the demand for heaters increased after the snow storm. The relationship between the amount of money x that a small instrument manufacturer spends on advertising and the total sale is given by the function S(x) = -0.003x + 0.58x-200. Find the average rate of change expected in the sales when the amount spend on advertising increases from $50 to $100. a. 17.9 b. 34.5 c. 27.2 d. 44.1 e. None of the above For AirbnbExplain Porters Five Force Model - Apply the five forces model to your industryExplain VRIO framework and identify the competitive position held by your companyExplain the purpose of a SWOT analysis and provide one for your company Draw out the vertical value chain for your firms industryFinancials - Explain what you know about your company's financials. You may use the WU library database to find your company's financial informationCreate and explain a Financial Analysis for your company Hyperion Inc. reported revenues of $500 million in Its FY 2019 income stamement. The quarterly revenues of Hyperion Inc over the last 6 quarters are presented in the following table (all figures in 5 million). Calculate the LTM revenues as of Q2 2020 using the stubs' method (Round to the nearest integer).Q1 2019 99Q2 2019 106Q3 2019 64Q4 2019 76Q1 2020 122Q2 2020 141 Let B be a fixed n x n invertible matrix. Define T: MM by T(A)=B-AB. i) Find T(I) and T(B). ii) Show that I is a linear transformation. iii) iv) Show that ker(T) = {0). What ia nullity (7)? Show that if CE Man n, then C R(T). What are the three elements of the Revised Trauma Score? 22-7 (2)=-12 h) logx - 30 +2=0 log.x A sternal puncture is often employed to obtain a sample of. A. compact bone. B. osteoblast. C. fibroblast. D. red bone marrow. E. yellow bone marrow. 4. The two major categories of the processes used by individuals for behavior change area. cognitive and physiologicalb. cognitive and behavioralc. social and physiologicald. behavioral and sociale. cognitive and social Low unit production cost is crucial for generating a positive gross margin. Which strategy below is NOT helpful to lower unit cost?Group of answer choicesA) Utilizing production capacityB) Higher product varietyC) Shorter setup timeD) Larger batch sizeYou are a production manager. You intend to convert the planned orders to production orders through CO41. However, the command cannot go through and there is a red cross on the planned order. Which one could be the reason?Group of answer choicesA) You did not run MRP.B) Raw materials have not been delivered.C) You run out of cash.D) There are too many scheduled production orders.Based on the Hershey case, which one is not a system that Hershey planned to implement?Group of answer choicesA) ManugisticsB) SiebelC) SAPD) Microsoft Dynamics When discussing and evaluating professional ethics, it is essential to understand the purpose, terminology, and repercussions of professional misconduct. The American Institute of Certified Public Accountants (AICPA) code of professional conduct is the gold standard for defining professional conduct in accounting; it is therefore important for business professionals to be familiar with. In this discussion, you will explore one principle in depth and discuss it and others with your peers.First, select one of the following principles of professional conduct to examine in the AICPA Code of Professional Conduct document:ResponsibilitiesPublic interestIntegrityObjectivity and independenceDue careScope and nature of servicesThen, for your initial post, reflect on what appropriate practice of your selected principle would look like in the field, and also on some potential examples of violations of the principle. Use the following questions to help guide your reflections:How would you define and describe your selected principle in your own words?What value does the principle bring to practitioners, businesses, and clients?What is an example of a difficult situation that a practitioner may face related to your selected principle, and what would an ethical response to the situation be? Why might a practitioner be tempted to, or accidentally, not take an ethical course of action? Hunt Company purchased factory equipment with an invoice price of $60,000. Other costs incurred were freight costs, $1,100; installation, $2,200; labor in testing equipment, $700; fire insurance policy covering equipment, $1,400. The equipment is estimated to have a $5,000 salvage value at the end of its 10 year useful life. Instructions: a) Compute the acquisition cost of the equipment _____ b) If the double-declining balance method of depreciation was used, the percentage applied to a declining book value would be ____ a company considers _________ as a factor when creating a market information system. An investment pays 7 percent nominal interest convertible monthly. What is the equivalent nominal rate of interest convertible semiannually? Answer = percent. Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and express it as the following linear combination of the two numbers. 3,060s + 1,155t, where S = ________ t = ________ Let A = PDP-1 and P and D as shown below. Compute A4. 12 30 P= D= 23 02 A4 88 (Simplify your answers.) < Question 8, 5.3.1 > Homework: HW 8 Question 9, 5.3.8 Diagonalize the following matrix. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For P = 10-[:] (Type an integer or simplified fraction for each matrix element.) B. For P= D= -[:] (Type an integer or simplified fraction for each matrix element.) O C. 1 0 For P = (Type an integer or simplified fraction for each matrix element.) OD. The matrix cannot be diagonalized. Homework: HW 8 < Question 10, 5.3.13 Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 1 12 -6 -3 16 -6:=4,7 -3 12-2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 400 For P = D= 0 4 0 007 (Simplify your answer.) 400 For P = D=070 007 (Simplify your answer.) OC. The matrix cannot be diagonalized.