A factorization A D PDP–1 is not unique. Demonstrate this

Chapter 5, Problem 29E

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Problem 29E

A factorization A D PDP–1 is not unique. Demonstrate this for the matrix A in Example 2. With

Use the information in Example 2 to find a matrix P1 such that

Reference:

Find a formula for Ak, given that A D PDP–1,

where

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