Consider matrices of the form (a) Write a 2 Ã 2 matrix and a 3 Ã 3
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(a) Write a 2 Ã 2 matrix and a 3 Ã 3 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 A when A is a 4 Ã 4 matrix. Use the graphing utility to test your conjecture.
(d) Use the results of parts (b) and (c) to make a conjecture about powers of A when A is an n à n matrix.
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