E Let A be an invertible n n matrix and b Rr. Let A...
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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 x₁ = det A(¹) / det A. [Hint: multiply both sides of equation by adj A.] Xi 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 x₁ = det A(¹) / det A. [Hint: multiply both sides of equation by adj A.] Xi
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