Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. 1 -1 0 -2 0 4 2 and B = -1 1 -1 1 4 |-1 -1 AB = -1 11 |-10 13 det(A) = -8 det(B) = -26 det(AB) = 234 det(A + B) = -101

Q: Use the inverse matrices to find (AB)-1, (AT)-1, and (2A)-1. - [:) 1 -2 A-1 B-1 %3D -2 -1 (a) (AB)-1…

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Q: Convert the following matrices into its Row Echelon Form (REF) and Reduced Row Echelon Form (RREF).…

A: Given matrix(1)…

Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 0 [5 1 -2 -3 -4 0 -9 3 1…

A: Solution

Q: Examine the product of the two matrices to determine if each is the inverse of the other. 1 1 1 - 5…

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Q: Consider the matrices. -4 -1 -2 2 and B = 8 8 A = 4 9 2 -7 -5 -11 6 5 What matrix results from B +…

A: Given:- A=-16-2249-5-11 B=-4-1-882-7-65 To find:- B+A

Q: Which of the following operations is possible? Consider the following matrices: -2 1 2 -4 [7 -4 A =…

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Q: Example 1.2

A: Find the product AB of the two matrices.

Q: 1. Determine the matrices C 2A + B and D A- 3B if 2 8 -6 -3 3. -3 -2 -4 3 0. A = %3D -6 -1 -8 9. -2…

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Q: For the two matrices shown, find the * addition 2 1 1 - 2 - 1 1 -1 + - 2 1 3 2 1 2 -1 1

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Q: Determine the inverse of matrix B. -3 -2] -4 -2 B -3 4 1 А. -5 B-1 -6 -2 -8 9 3 В. -4 5 21 B-1 -5 6…

A: B=0-3-11-4-2-341 To find inverse of matrix B, aigment it with identity matrix…

Q: Express the matrix and its inverse as products of elementary matrices. 10-4 A =0 8 6 0 01

A: A = 1 0 -4 0 8 6 0 0 1 Here expressing A as a product of elementary matrices we get ,…

Q: For the two matrices shown, find the addition -4 6 3 -4 6 3 0 1 2 + 0 1 2

A: Given two matrices are  -463012 and         -463012find the addition of these two matrices

Q: Given the following matrices, find 2B- A. [1 0 -3 A = 8 1 01 and B = 6 -1 2 3 -4 5 A 15 2 3 0 -7 8…

A: We have to perform the matrix operation 2A-B.

Q: Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 -5 1 7 5 -43 1 3 A = -3 -5 7…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: -1 0 0 -1 0 1 -1 2 0 -1 2 -1 0 0 -1 2

A: Solution:- Given matrix is -

Q: Find the inverse A-1 of the matrix -2 -3 A = 2 -1 -1 -2 3

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Q: write B as a linear combination of the other matrices, if possible.

A: Given, The matrices, .

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: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

Q: Find the matrix product AB, if it is defined. 3 -2 A = 5. 0 - 2 B= 4 ..... O A. O B. -8 - 18 -10 42…

A: From the given problem: A=3-250 ; B=0-246

Q: Find the inverse of the given nonsingular matrix. -1 1. 2 -1 4. 3 0

A: Topic - inverse of matric

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: Find the product of the following two matrices.   [-1     -2     -1] [4       0      -5]     [2…

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Q: Find the rank of the following matrix. -1 3D1 0. 3. 4 2 1 4 |

A: given matrix is -1-100002340-213-104find the rank of the matrix

Q: Find if possible the matrices: a. AB   b. BA.

A: Given that: The matrices, A = -1-2-3  , B = 123

Q: Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 -5 1 5 A = -5 -11 17 3 -53 1…

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Q: Find the product of the following two matrices. -3 0. -47 -1 |-2 0 0 0 -1 -1 4 -1 -1 -1 Rows: 2…

A: We have to find product of matrix

Q: verify that the matrix B is the inverse of the matrix A. -1 A = B = -4 3 3. 2.

A: Note: You are allowed to ask 1 question at a time.

Q: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: 1. Find the rank of the following matrices -2 [ 1 2 3 1 2 -2 -3 -1 3 2 (i) ( ii) -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: For the two matrices shown, find the * addition 2 1 - 1 1 1 2 1 - 2 - 2 3 2 1 3 1 2 1 1

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Q: ". (^) ", (2)". Use the inverse matrices to find (AB and ( 2A -2 1 2 4 2 2 3 1 A-1 1 1 1 %3D B-1 %3D…

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Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

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Q: Find the inverse of the matrix and verify that A-1 A = AA-1 =  I2 and B-1 B = BB-1 = I3.

A: see below the answer

Q: For the matrices shown, find (A' + B') 1 2 1 -3 -1 0 3 3 -1 4 1 4 B = A = 1 1 6

A: A' is Transpose of matrix A

Q: For the two matrices shown, find the * addition 2 1 -1 1 1 2 1 - 2 3 2 1 3 - 2 1 2 1 1

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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: Given that A and B are two 3 x 3 matrices, det(A) = -2, det(B) = 3, find the following (do not round…

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Q: * For the two matrices shown, find the addition [::: |::]- 6 3 01 2 4 6 3 012

A: It is matrix addition.

Q: The matrices A, B and C are given by - -2 -1 2 1 -3 2 - 1 -1 4 A= -1 2 -1 B= 2 2 1 C= -1 3 2 3 3 -2…

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Q: Find the product of the matrices shown below. 1 3 2 1 4 A = X 1 1 2 1 1 1

A: Given product, A=132214012101×211

Q: Given the matrices below, find AC. -2 0 4 [5 -4 3] A = and C = 6 -5 1 [0 6 -7 -3 7 2

A: To solve this problem, we use the  matrix multipication method.

Q: Find the inverse of the matrix if it exists.

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Q: For Exercise, refer to matrices A, B and C and perform the indicated operations on a calculator.…

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Q: Give the two matrices, [1 2 3] 1 1 A = |1 1 2 and B= 2 1 2 0 1 2 1 2 (d) Find (AB)-1 and (BA)-1.

A: Explanation: Given that,                          Here both matrix are 3*3. So, multiplication is…