Determine whether there exists an invertible matrix A if A² = AB + 2A, where B is the following matrix. -1 1 -1 B = - (+47) 0 -1 0 2 1 If such an invertible matrix A exists, find the inverse matrix A-¹.

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A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

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A: Given,                  A=123231312

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Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

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