Exploration Consider matrices of the form (a) Write a

Chapter 7, Problem 7.5.103

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Exploration Consider matrices of the form (a) Write a matrix and a matrix in the form of A. (b) Use a graphing utility to raise each of the matrices to higher powers. Describe the result. (c) Use the result of part (b) to make a conjecture about powers of if is a matrix. Use a graphing utility to test your conjecture. (d) Use the results of parts (b) and (c) to make a conjecture about powers of an matrix A.

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