Compute the inverse of the matrix A = -2 -9 7 or state 1 -9 nat A is singular. s the matrix A singular? | Nov ? ? 4-1 =| ? ?

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

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Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: 1 Find a matrix P that satisfies P 1 9 1 2 0 3 0 900 23 1 7 1 1

A: We have to find the matrix P that satisfies the given equation.

Q: What row operation does left-multiplication by the elementary matrix [1 0 0 0] 0 1 0 0 02 10 0 0 0…

A: We have given partially row operated matrix Q asThree types of Elementary row operation:Interchange…

Q: Show that A and B are not similar matrices

A: Given matrix is The characteristic polynomial of matrix A is

Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

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Q: Find the matrix A if 21 . 2. 1 3 1 3

A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

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Q: Is the following matrix 'B' diagonalizable?

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Q: Find the transpose of the matrix. 1 2 6 4     2 7 6 5 6 6 7 0 4 5 0 6

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Q: Diagonalize the matrix [5 -14] 4 -10 A = by writing it as A = PDP-¹ P = D = P-1 =

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Q: A = 4 -3 -5 1 8 52 2 3 -1

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