?Suggested Journal Entry Suppose that you had calculated the first few powers of a

Chapter 5, Problem 80

(choose chapter or problem)

Suggested Journal Entry Suppose that you had calculated the first few powers of a matrix A. How could you use the Cayley-Hamilton Theorem (in the introduction to Problems 63-66) to compute higher powers of A without doing any further matrix multiplications? Could a similar scheme be used to find powers of \(A^{-1}\) for invertible A?

Equation Transcription:

Text Transcription:

A^-1

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