Answer: In 1418 assume the entries of all matrices are real numbers
Chapter 10, Problem 17(choose chapter or problem)
Use mathematical induction and the result of exercise 16 to prove that if A is any \(m \times m\) matrix, then \(\mathbf{A}^{n} \mathbf{A}=\mathbf{A} \mathbf{A}^{n}\) for all integers \(n \geq 1\).
Text Transcription:
m times m
A^nA = AA^n
n geq 1
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