If the matrix AB is invertible, must it be the case that BA is invertible? (Note: A and B need not be square, but AB and BA must be square). Either provide an argument if the answer is yes OR provide an example if the answer is no.

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A: Let A and B be matrices such that AB exists and is a 4X4 matrix and BA is a 7X7 matrix.We find the…

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A: The answers to the given questions are briefly given below , kindly please check.Explanation:

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A: Given information: A is a square matrix whose diagonal entries are all zero.

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A: Let 3×3 matrix A is never sad

Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

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Q: Find a square root of the matrix 13 0 18 A = -5 0 -6 - -6 -8 In other words, find a matrix B such…

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Q: Site A links to B and D. Site B links to A, C, and D Site C links only to site B. Site D links to A,…

A: Part (a) is correct: