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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Q: Let A and B be matrices such that AB exists and is a 4X4 matrix and Ba is a 7X7 matrix. How many…

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…

Q: Suppose that c¹, c² are both 3 × 1 matrices. Let A = [c¹c²] be augmented matrix with c¹ and c² and…

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

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Q: Find a 2 x 2 matrix B so that B2 = A, where

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Q: If A is a square matrix whose diagonal entries are all zero, then detA = 0.

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

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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: