Question: E Let A be an invertible n n matrix and b Rr. Let A (i) denote the matrix obtained from A by replacing the

E Let A be an invertible n n matrix and b Rr.

E Let A be an invertible n n matrix and b Rr. Let A (i) denote the matrix obtained from A by replacing the ith column by b. Show that if Ax = b, then x = det A() / det A. [Hint: multiply both sides of equation by adj A.] Xi

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