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: Let A and B be square matrices of order 4 such that |A| = -4 and |B| = -4. Find the following. (a)…

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

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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.

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Q: If A is an nxn matrix, then the equation Ax = b has at least one solution for each b in R".

A: (C)

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

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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: Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6…

A: To find the determinant of the given matrix 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…

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Q: |2–1 -1 -1 2-1 -1 -1 2-1 nxn

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Q: Use elementary row operations to find the inverse of the matrix or to show that it is not…

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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…

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Q: For this exercise assume that the matrices are all nxn. The statement in this exercise is an…

A: Given that if the equation Ax=0 has only the trivial solution then A is row equivalent to the n×n…

Q: 2 3 10 2 A = 5 4 9 2 3 1 3 multiplying the matrices, explain why A is not invertib

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Q: 1+a² – & 2ab 2ab -26 - 1- a² + b = (1+a² +&)* 2a 26 -2a 1- a – 6

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