Suppose a b and x are n x n matrices with a x and a - ax


Question: Suppose A, B, and X are n X n matrices with A, X, and A - AX invertible, and suppose

(A - AX)-1 = X-1 B

a. Explain why B is invertible.

b. Solve equation (3) for X. If a matrix needs to be inverted, explain why that matrix is invertible.

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Mathematics: Suppose a b and x are n x n matrices with a x and a - ax
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