Let A and B be two matrices such that 30 k n B-1 A-1 = 12 0 15 and When calculating (AB)1, the matrix that corresponds to: 34 4k + 12n a) 180 120 30n + 15k b) 16 180 120 30n + 15k c) 180 120 4k + 12n d) 180

Q: Q-1: Answer each of the following as True or False justifying your answers: a) If A = ; , then A100…

A: We have to check which statement is true and which is false. As per policy, we are answering the…

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Q: A = 2 4 −1 0 -2 9 , B = D= 0 −1 3 1) Use the above matrices to compute the following (where…

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A: Addition of matrix is possible only for same order matrix . Matrix form :.  Column × Row  or C×R

Q: b) If P−¹AP and P-¹BP are both diagonal matrices, show that AB = BA.

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Q: compute the indicated matrices A + 2D

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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

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A: Given that, We have to find, Then we get, AT=1-32140…

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A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

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A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

Q: Express as a single matrix.

A: Given,

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A: A-2I-1=1234 Taking Inverse both sides, we get…

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Q: Given two nxn matrices A and B, what are the criteria for the matrices to be inverses?

A: Given the matrices A and B of order nxn.

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Q: Consider the matrices A, B, C. 1 4 2 --1 3 3 -1 3 A =|3 0 1 B = C = 2 6 8 0 5 6 -1 5 7 2 a. Find the…

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Q: Find a non-zero 2 x 2 matrix such that Note: 4890 -7 -67 28 24 =

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Q: If A is a 3 x 5 matrix, B is a 5 x 7 matrix, C is a 7 x 11 matrix and D is a 5 x 7 matrix, which ONE…

A: ACB=A3×5 ×C7×11 × B5×7  , here the number of columns of A and the number of rows of B does not…

Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: Find two non zero matrices A and B such that AB = 0. %3|

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A: This is question of algebra Here matrix is given We have to check it multiplication is valid or not…

Q: N.N て1 て てー -3 こ 1. そー ) Find oenk of the matrix p

A: See the attachment