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Suppose A,B and X are n x n matrices with A, X, and (A -AX) invertible and suppose (A - AX)-1 =X-1B. a) Explain why

Suppose A,B and X are n x n matrices with A, X, and (A -AX) invertible and suppose (A - AX)-1 =X-1B.

a) Explain why B is invertible

b) Solve for X. If you need to invert a matrix, explain why that matrix is invertible.

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