For each of the following matrices, determine the value of the scalar k that makes the matrix defective. 7 7 7 (a) 7 7 7 32 k = (b) k || 0 0 0 k 3k -8 0 0 k 0 0 0 k 0 -

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

A:

Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

A:

Q: Using row operation find the inverse of the matrix for any real number k [1 5 8 9] 7 2 6 8 M = 6 5 3…

A:

Q: H.W:- Find the determinant for the following matrices: 4 6] 1. X =-1 -4 answer: X =-108 3 2.

A:

Q: Find the determinant of the matrix: * 3 -8 11 -3 4 -3 2 O 236 O 514 O 359 O -514 2 5

A: Given  32-8115-34-32

Q: Let A and B be invertible 5-square matrices such that A| = 4 and B = 2. Then |2A. B 2 %3D

A:

Q: Use the following matrices to perform the operation, if possible. (If not possible, enter IMPOSSIBLE…

A: C=9101D=2653

Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

A:

Q: Let X be a 3 x 4 matrix, let Y be a 4 x 4 matrix and let Z be a 4 x 3 matrix. Select all of the…

A:

Q: |2–1 -1 -1 2-1 -1 -1 2-1 nxn

A:

Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: Compute the quadratic form x¹Ax for the given matrix A and vector x. [59 0] A = 91 4, X = X2 04-2 x3…

A:

Q: For square matrix A, if its first row equals 5 times the third row, then its determinant is 0. True…

A: We are given with the matrix who is first row is five times the third row and we have to find the…

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A:

Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: 6. Prove that I M is an n x n matrix that has a DIOCK Iorm A B (18) where the sizes of A, B, C are k…

A:

Q: M = Find the determinant of the matrix -32x³ 8+2x² + 4x³ -x³ 1 + x² + 2x³ -2 +6x² 4 - 12x² 0 -2-3x²…

A: