a. Write the linear system as a matrix equation
in the form AX= B.
b. Solve the system using the inverse that is given for the coefficient matrix.
PLEASE HELP WILL GIVE A LOT OF POINTS!!

a) The linear system as a matrix equation in the form AX= B as

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

b) The solution set is {x = 2, y = -4, z = -2}.

Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],

To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:

A⁻¹(A⁻¹X) = A⁻¹B

X = A⁻¹B

Therefore, the linear system as a matrix equation in the form AX = B is:

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

2. The given system of equations can be represented as:

                                    A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]

                                    X  = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]

                                    B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Using the given inverse of A:

A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]

Multiply A⁻¹ by B to solve for X:

[tex]X = A^{(-1)} B[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]   = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]  [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Performing the matrix multiplication:

|  x  | =  | (-1)(0) + (1)(-2) + (1)(4)|   |  2  |

|  y  | = | (-2)(0) + (3)(-2) + (2)(4)|  | -4  |

|  z  |   | (2)(0) + (-2)(-2) + (-1)(4)|   | -2  |

Therefore, the solution set is {x = 2, y = -4, z = -2}.

Learn more about Matrix here:

https://brainly.com/question/29132693

#SPJ4

Rico is finding 7.5 × 100
Find and correct his mistake​

Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.

Complete the chart!! :)

1/7 to the 2nd power

Question Help
Writing lan's car can go 245 miles on 7 gallons of gas. During a drive last weekend, lan used
4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you
were given the distance lan drove last weekend instead of how much gas he used.

He drove _miles.

1. Evaluate |-x - 2y| for x = -2 and y = 3

Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False

8.6w+2.2(2w-5)=54
help plz
8th grade math

How do you figure out division expression with answer of 19.1

Need helppppppppppppppp

Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.

HELP 7= -10s-3 solve for s!

3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?

At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?

Morwenna rents a truck she pays $20 plus .50 per mile. Let t represent the relationship between the factor. Write an equation that represent the situation.!!!!!

A plant measures 10 cm and increases in height by .02 percent each day, upon conclusion it measures 11.04 cm. What is a reasonable domain to plot the growth function?

What is the distance between the bank and Hiroto’s house on the map?

Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)

3. [1,5 punts] Si en un partit el Camp Nou s'ha omplert parts de la seva capacitat, quants espectadors han anat? I si s'ha posat a ploure abans del final del partit i han marxat tres quartes parts dels espectadors que hi havia, quants en queden? Quina part de la capacitat ha quedat? (Capacitat del Camp Nou: 99375 espectadors.)​

what is another word for Angle 1?

The area of Triangle abc is 3cm 4cm 3cm​

Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?

i inserted a picture of the question

Please help me my teacher is making me do this she didn’t even teach us this

пожалуйста, помогите с векторами!

Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.

Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5

The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.​

no link or bot answer the question

Question 7 of 15
Which is an equation of the line through (0,0) and (5,-2)?
A. y = 2
B. y = -x
C. y = -2
D. y = x

What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?