Suppose that A is an invertible n* n matrix (a) Prove that {A^3} is invertible. (b) Prove that if B
Question: Suppose that A is an invertible \(n\times n\) matrix
(a) Prove that \({{A}^{3}}\) is invertible.
(b) Prove that if \(B\) and \(C\) are \(n\times n\) matrices such that \(AB=AC\), then \(B=C\)
(c) If \({{A}^{2}}=A\), find A
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