If A is a 3×3 singular matrix such that λ1=1−i is an eigenvalue of A, then the other eigenvalues of A are 0,1+i

Answers

Answer 1

Answer:

1 + i

Step-by-step explanation:

Given that A is a 3 * 3 singular matrix

one of its eigenvalue ( λ1 ) = 1 - i

Given that the determinant of a singular matrix is = 0

therefore the second eigen value ( λ2 ) = 1 + i

1 - i + 1 + i  = 0


Related Questions

Solve 2x^2-11x-6=0 please i need this to pass

Answers

Answer:

x = -0.5 or 6

Step-by-step explanation:

→ First find the first set of terms in brackets

( 2x + ? ) ( x - ? )

→ Find 2 numbers which multiply to give -6 and subtract to give -11 when multiplied by 2

( 2x + 1 ) ( x - 6 ) = 0

→ Now solve

x = -0.5 or 6

Answer:

x = 6 and -0.5

Step-by-step explanation:

Equation; 2x² - 11x - 6 = 0

a = 2

b = -11

c = -6

Substitute in the values of the equation for the quadratic formula;

-b ± [tex]\sqrt{b^2 - 4ac}[/tex] / 2a

-(-11) ± [tex]\sqrt{(-11)^2 - 4(2)(-6)}[/tex] / 2(2)

11 ± [tex]\sqrt{121+48}[/tex] / 4

11 ± 13 / 4

=> 11 + 13 / 4 = 6

=> 11 - 13 = -0.5

So;

x = 6 and -0.5

Hope this helps!

I need help or my math teacher will call my parents up about it and I will die

Answers

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Determine the number of solutions 3x + 1 = 4x - 2
A) One solution
B) Infinitely many solutions
C) No solution

Answers

Answer:

one solution

Step-by-step explanation:

1. 1=4x-2-3x

2. 1=x-2

3. 1+2=x

4. 3=x

PLSSSSS HELP MEEEE!!!!!!
Jose drove 35 miles in 2/3 hours. If he drove at a constant rate, how far did he travel in one hour? Enter your answer as a whole number, proper fraction, or mixed number in the simplest form.

Answers

Answer:

Jose traveled 52.5 miles in 1 hour

Step-by-step explanation:

What we're actually doing here is finding the "unit rate":  the speed in mph:

 35 mi       105 mi

------------ = ------------ = 52.5 mph = 52.5 miles in 1 hour

2/3 hr         2 hr

Jose traveled 52.5 miles in 1 hour

A bag contains 9 discs of which 4 are red, 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be either red or blue.

Answers

Answer:

the probability that it will be either red or blue is 7/9

Step-by-step explanation:

There are 9 disks altogether.  Since there are 4 red disks, the probability that a red disk will be drawn is 4/9.  The probability that a blue disk will be drawn is 3/9.  These two events are independent of one another.

The probability that it will be either red or blue is that of the union of the two events.  Thus, we add together 4/9 and 3/9, obtaining 7/9

Question 3 and 5 please ASAP!

Answers

Step-by-step explanation:

a=bx + cx

2

2*a=x(b+c)*2

2

2a = x(b+c)

(b+c) (b+c)

2a = x

(b+c)

One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet? Round your answer to the nearest tenth of a foot.

Answers

2×12=24

24+3= 27

12*12=144

144/24=6

Karla scored 75, 80, and 92 on her history quizzes. What is the minimum score she needs on her next quiz to have a mean of 85?

Answers

Answer:

The answer should be 93.

Step-by-step explanation:

So this took a lot of work to figure out, I did not solve it normally.

What i first did was add 75, 80, and 92 to get = 247. 247/3 was only 82, but in the equation you said the score on her next quiz, which means I would need to divide by 4.

But that was not possible with the numbers I had.

i started adding numbers to see if I would get the mean of 85, and eventually I added 93. to get 340, which I divided by 4 (the number of quizzes that were taken) to get the mean of 85.

so yeah, I made it more complicated than it need to be, but that's the answer lol

-your very overworked friend who went to great extent to solve this problem,

Azalea

What are the amplitude and midline?

A. Amplitude: 1; midline: y = 1
B. Amplitude: 0; midline: y = 0
C. Amplitude: 2; midline: y = 1
D. Amplitude: 2; midline: y = 0

Answers

Answer:

A. Amplitude: 1; midline: y = 1

Answer:

A. Amplitude: 1; midline: y = 1

Step-by-step explanation:

i took the test

Please help me i need help ASAP!!! please help

Answers

Answers :

BC = 17.1

Angle B = 6.7°

Angle C = 83.3°

To find side BC, you use pythagorean’s theorem, which is a^2 + b^2 = c^2

This gives you 289 + 4 = 293, and you find the square root, which is 17.1.


To find the angle measures you can use tangent, which is opposite sides over adjacent sides. You plug these values into a calculator.

b = tan 2/17 = 6.7°

c = tan 17/2 = 83.3°



Answer:

BC = 17.1

m<B = 6.7 deg

m<C = 83.3 deg

Step-by-step explanation:

Find BC

a^2 + b^2 = c^2

AC^2 + AB^2 = BC^2

2^2 + 17^2 = BC^2

4 + 289 = BC^2

BC^2 = 293

BC = sqrt(293)

BC = 17.1

Find <B

tan B = opp/adj

tan B = 2/17

B = tan^-1 2/17

B = 6.7 deg

Find <C

m<A + m<B + m<C = 180

90 + 6.7 + m<C = 180

m<C = 180 - 90 - 6.7

m<C = 83.3

which choice is equivalent to the quotient below

Answers

Answer B is the correct answer

which fraction is greater than 5/9 ?

7/13 6/10 3/7 or 4/8

Answers

Step-by-step explanation:

First of all, we'll have to eliminate 4/8 and 3/7 because they're both 1/2 or smaller and 5/9 is bigger than 1/2.

That leaves 7/13 and 6/10. 6/10=54/90    and 5/9 is 50/90.

So 6/10 is the correct answer

Yes it is 6/10 have a great day

please answer thisss <3

Answers

Answer:

i think . it is c

Step-by-step explanation:

marqualyn needs help...

Answers

Answer:

20mins

Step-by-step explanation:

3/4 * 60 = 45 mins

1/4 * 60 = 15mins

15mins + 10mins = 25 mins

45 - 25 = 20mins

point Y is the circumcenter of triangle DEF which statement is true about point Y

Answers

Answer:

If Y was the center, it wouldn't be possible for a circle to pass through all 3 points; L, M and N. Statement 4 is the true answer, as it is possible for a circle to pass through all 3 points; D, E and F if Y was the center. Also, Y is the circumcenter of triangle DEF, so this statement must be true.

3. (16.03 LC)
A shape has 2 pairs of parallel sides and no right angles. What shape is it? (4 points)
A. Trapezoid
B. Parallelogram
C. Square
D. Rectangle

Answers

the answer is:
B. parallelogram

(i hope this is right)

Can someone please help me

Answers

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

Need help with figuring out this zingoes problem asap, willing to give brainliest!

Answers

Answer:

Zingo, not Zingo, Zingo, Zingo, and not Zingo (left to right)

Step-by-step explanation:

We can notice that all of the Zingoes have a vertical line down an enclosed shape. Additionally, the line must be fully inside the enclosed shape.

Using these properties, starting from the left, we hafd a Zingo, not Zingo, Zingo, Zingo, and not Zingo.

I hope this helps! If you have any questions, feel free to ask. :)

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

y=3x-1
Help pleaseeeeee

Answers

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

HELP! Drag each value to the correct location on the equation. Not all values will be used.
The number of archaeological sites discovered in a country over time, x, can be represented by the function S(x) = 2(1.1)x. The approximate number of artifacts found in each site over time, x, can be represented by the function A(x) = (1.1)5x + 2.

Create the function, T(x), that best describes the total number of artifacts found in archaeological sites in the country after x years.

Answers

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

What is exponential function?

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

Learn more about exponential function here

https://brainly.com/question/11487261

#SPJ2

picture, 20 points and will gibe brainliest..

Answers

Answer:

D : reflection over the y-axis followed by a translation to the right one unit

1..) 2x +15 = 35 


2.) 7x - 3 =18


What would be the answers? Will give brainlist

Answers

Answer:

1) [tex]x=10[/tex]

2) [tex]x=3[/tex]

Step-by-step explanation:

1)

[tex]2x+15=35[/tex]

Subtract 15 from both sides

[tex]2x=20[/tex]

Divide both sides by 2

[tex]x=10[/tex]

[tex]2(10)+15=35[/tex]

[tex]20+15=35[/tex]

[tex]35=35[/tex]

this shows that 10 is the right answer

2)

[tex]7x-3=18[/tex]

Add 3 to both sides

[tex]7x=21[/tex]

Divide both sides by 7

[tex]x=3[/tex]

[tex]7(3)-3=18[/tex]

[tex]21-3=18[/tex]

[tex]18=18[/tex]

this shows that 3 is the right answer

Hope this helps

How do I generate equivalent expressions by combining like terms, simplifying, or factoring this? ( 4b + 8) =

Answers

Answer:

4(b + 2)

Step-by-step explanation:

Given data

The expression is

( 4b + 8)

Looking at the expression, 4 is common

factor 4 out

4(b + 2)

Hence the equivalent expression is

4(b + 2)

Write the additive inverse of -1/3

Answers

Write the additive inverse of [tex]\frac{ - 1}{3} [/tex].

The additive inverse of [tex] \frac{ - 1}{3} [/tex] is [tex]\frac{+ 1}{3} [/tex].

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Select the correct answer from each drop-down menu.

Use the given functions represented by the equation and the graph to complete the statements.

f(x)=2x^3 - 3x^2 + 5x + 7

As x approaches positive infinity, f(x) approaches [negative infinity, positive infinity, zero] and g(x) approaches [negative infinity, positive infinity, zero]. The y-intercept of function f is [equal to, less than, greater than] the y-intercept of function g.

Answers

Answer:

f(x) approaches positive infinity.

g(x) approaches negative infinity.

the y-intercept of f(x) is less than the y-intercept of g(x).

Step-by-step explanation:

the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.

therefore, with x going to positive infinity, also f(x) goes to positive infinity.

the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.

the y-intercept of f(x) = f(0).

that means the functional value when x=0.

so, for x=0 this means

y = 2×0³ - 3×0² + 5×0 + 7 = 7

the graph of g(x) shows that g(0) is 8.

so f(0) is less than g(0).

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

How to analyze the behavior of two given polynomials

Polynomials are algebraic expressions whose form is described below:

[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex]     (1)

Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.

In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

To learn more on polynomials, we kindly invite to check this: https://brainly.com/question/20121808 #SPJ5

If 2 is subtracted from 3 times a number , the result is 25.Find the number?

Answers

Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

-7 2/3 +(-5 1/2) +8 3/4=

Answers

Simplify the expression.

Exact Form :

- 53/12

Decimal Form :

- 4.416

Mixed Number Form :

- 4 5/12


Hope this helps !

Have a great day! :)

Step-by-step explanation:

Change into improper fraction

-23/3+(-11/2)+35/4

Open the bracket

-23/3-11/2+35/4

Using BODMAS

-23/3-57/4

Find the LCM

-92-171/12

-263/12

-21*11/12

please help me I will give brainlist​

Answers

Answer:

Option B

Step-by-step explanation:

I am sure

Hope this helped u

Answer:A

Step-by-step explanation:

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

2 and 6 are alternate exterior and 4 is corresponding interior
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