Given the matrix A = 9 -1 2 -18 and B =-5 -3 -2 -4 . Find (a) AB ( 3 marks) (b) A – 2B ( 3 marks) (c) AT

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: For matrix A = (4  1)                        (2  3)  if g(X) = X^2 + 4x + 2, what is the answer to…

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Q: Given the following 2x3 matrices:- 2 3 A B 4 3 -1 Find the matrix 2A-3B+c

A: Given the matrices A, B, C and D, we need to calculate 2A-3B+C

Q: Perform the row operation 3R2 + R₁R₁ on the matrix below. 3 2 4-6-8 1 1-3 2 (X3 (888) 4-6-8 3R2 + R₁…

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Q: For matrix A, (A^3) = 1, A^(-1) is equals to: * A^2

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Q: D. Solve for the Inverse of the given 3x3 matrix below. 4 -2 -6 7 1 8 -3

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Q: The 2 x 2 matrices A and B below are related to matrix C by the equation: C = 3A - 2B. Which of the…

A: We have to find matrix C by the equation C=3A-2B where matrices are given as: A=35-21 and B=-4521 We…

Q: Perform the row operation on the given augmented matrix. 1 3 -1 8. - 7 9 4 6. - 7R, + R2 - 2 3 9. 8…

A: Given the augmented matrix We need to find -7R1+R2.

Q: Solve the matrix equation AX = B for X 3 - 2 -1] - 2 A = - 3 - 2 B = 14 %D - - | 2 2 1 4 X =

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Q: Solve the matrix equation AX = B for X. A = 1 -2 -3 4 6 -1 -2 - 1 1 7 B= 6 5

A: Given: The matrix A=1-2-3-1461-1-2 and B=765. To find: Solve the matrix equation AX=B for X=???.…

Q: Given the matrix A, find A +B [A] = 3 0. 15 [B] = [ -3 5 %3D 4

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Q: Find the value of the matrix A8-5A7+7A6-3A5+A4+8A2-2A+I

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Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: Find the inverse of the matrix [: 3] Choices: -3 3 C. a. 4/3 1/3 1 3 1 b. -4/3 -1/3] [4/3 1/3]

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Q: If A-1 =
2 71 3, what is the matrix A?

A: Its given that: We need to find the original matrix A.

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: Solve the matrix equation AX = B for X 1-2 -3 6. -1 4 6 , B = Jon A%3D 1

A: Here we have to solve the equation AX=B for X. A=1-2-3-1461-1-2, B=618

Q: For the matrix B    1 -2   9                    If B = 0, What is the value of y?…

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Q: -9x+7y=3 3x-6y = 5 What is the augmented matrix?

A: As we know that: if the equations ax+by=k1 and cx+dy=k2. then the augmented matrix can be written…

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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Q: How can you figure out the matrix A, in terms of B, C, and D, if: (5CA−1D ) −1 = B

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Q: Solve the matrix equation AX=B for X. 1-2 -3 A = -D1 4 6 B= 5 1-1-2

A: Given, AX = B  A = 1-2-3-1461-1-2 B = 357 then  X = ?

Q: Let A = X= 5 -7 -3 -5 and B = 7 5 2-3 7-6 -7 -4 Solve the matrix equation 3X + 3A = B for X. (Type…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The product of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

A: When we do multiplication: The number of columns of the 1st matrix must equal the number of rows…

Q: Find the adjoint of a matrix 1 -3 C = 2 -2 1 -1 .a -5 -6 -2 3 3 1 -6 -7 -2 .b -5 3 -6 -6 3 -7 -2 1…

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Q: How can you figure out the matrix A, in terms of B, C, and D, if: (8CA−1D ) −1 = B

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Q: How would you figure out the matrix A, in terms of B and C , if (4A T + 6C TB ) T = 6A − 6B

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Q: Consider the matrix 2 2 A = 1 3 -1 -1 -2

A: Matrix power is obtained by multiplication matrix by itself 'n' times. For  A3 we have to multiply…

Q: Consider the matrices. -1 6. -4 -2 A = 4 2 -8 8 and B = 2 %3D -7 -11 6 5 What matrix results from B…

A: Solution-

Q: What would B−1  be equal to if you have a matrix B that satisfies: B6 − 6B − 3I = 0

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Q: Write the augmented matrix of the following system of equations. { 9y + 5 = 0 9x + 3y - 1-0 - 8x -…

A: Since, this is a multiple question according to the Bartleby Answering rule, only first question is…

Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

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Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

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Q: Find the adjoint of a matrix 1 -3 C = 2 -2 1 0 –-1 3 - .a -5 -6 -2 | 3 3 1 -6 -7 -2 .b -5 3 -6 -6 3…

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Q: If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B? A) 7x7 в) 5х7 с) 7х3 D)…

A: A5×3×Bm×n=AB5×7by property of matricesfor product of matrices, Ac×d×Bm×n=ABc×n ; when d=m

Q: For the Matrix         4   5    8 A= 2   3    3       1   4    9 What is the value of the element in…

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Q: Solve the matrix equation -5A +3B = -3X for X where - 4 9. -4 -6 A = 8 -2 and B = 8 1 -5 -5 X =…

A: A= -498-2-5-5 B= -4-68172 We need to solve matrix equation -5A+3B=-3X  for X

Q: Given the matrix A, find A -B -3 9 [A] = [5 [B] = [ -21 %3D -3 1

A: Given that, the matrices are A=2045-38 and B=-35941-2.

Q: If possible, find a single matrix equal to the following: 2. (а) [-1 2 -2 1] - [10] -2 1 -11[2 (b) 1…

A: We can solve as follows

Q: what is the outcome of multiplying the two matrixes (AB) A = [4] B =[-2--1] -3

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Q: Given the following 2x3 matrices: [1 2 -5 [1 D= 3 -6 2 1 -6 -2 2 1 B = -1 -10 -9 A = -1 1 |1 5 Find…

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Q: For the matrix A = 3 -2 1 and B = [3 1 2], find A. B" -1 130

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Q: Find the values of a, b, c, and d in the matrix equation below. 2 1T -2 -2 4 ab N/2 3 c d 5 -4

A: Given equation, abcd-221-24T=235-4

Q: Consider the matrices. -4 -1 -8 8 -1 -2 -6 A = B%3= and -3 -7 10 -6 5 -9- What matrix results from…

A: A matrix can only be added to another matrix if the two matrices have the same dimensions . To add…

Q: For matrix A = '4 C ), if g(X) = X² + 4x + 2, what is the answer to g(A)? 3.

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Q: Given the following 2x3 matrices:- [9 1 0 A= 1 8 -1 4 1 12 3 3 -1 10 2 Find the matrix 2A-3B+c

A: Let the matrix, X, be defined as X=abcd . If the matrix, X, is multiplied by a constant, k, then the…

Q: Find the inverse of the matrix, B = 5 -3 6 -3 Non-integers should be given either as decimals or as…

A: Given,            B=5-36-3