Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. A = AB = det(A) det (B) det(AB) = = = 30 1 1 3 -1 10 1 and B = 1 0 -1 50 1 0 0 1

Q: For the given matrices A and B find each of the following. (a) A+ B, (b) B+ A, (c) A-B 4. 4 - 1 10 7…

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Q: 1 −1 1 -2 1 2 1 −1 -1 0

A: The given matrix,The aim is to find the inverse of the matrix.

Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. 1 0 -1 4 0 5 0 1 A =…

A: Given that :- A=50113-1101 , B=10-1401010 find AB,detA,detB,detAB,detA+B

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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Q: for the two matrices shown , Find the * (multiplication (A.B a- [; ;],»-[; *] 2 B = 4 1 1 A = 2

A: Topic: matrix multiplication

Q: Evaluate det (A) for the matrix A=($ 2).

A: Given matrix is A=8254 The task is to find the inverse of the given matrix.

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 of the Matrix: A -(-3 4 -3 8 -5/

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Q: a. L 0 -3 -2 1 -4 -2 1 -3 4 b. 1 0 -1 -3 2 1 2

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Q: Use the inverse matrices to find (AB)', (A')-², and (24)-', -[3}} -2 5 (a) (AB)-1 188 (b) (AT)-1 BS…

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Q: Given the matrices A and B, determine the quantity 2A - B. A = and B - 1 1 (244) 1 1 (² (2₂ 3 -3 3 4…

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Q: Find the inverse of the following matrix: 2 -5 "-(13) 0 H

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Q: Find the inverse of the matrix if it exists, A= 2 4 1 -1 1 -1 1 4 0

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Q: Given matrices A and B shown below, find (-8)A + (7)B. -1 -4 -3 A = 1 3 -1 -2 -2 1 -2 2 3 В — 1 -4 2

A: Multiply A by -8. A=-1-4-313-1-2-21(-8)A=-8-1-4-313-1-2-21(-8)A=83224-8-2481616-8

Q: Use the half-angle identities to evaluate cos 22.5° exactly. cos 22.5°: (Type an exact answer, using…

A: Given,           cos22.5°We know that,           The cosine half-angle identity is given by…

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

A: It is given that, A=243142  and  B=320-1-35 We have to find if possible the matrices:     a. AB   b.…