Question

In: Advanced Math

Let A be a diagonalizable n × n matrix and let P be an invertible n...

Let A be a diagonalizable n × n matrix and let P be an invertible n × n matrix such that

B = P−1AP

is the diagonal form of A. Prove that

Ak = PBkP−1,

where k is a positive integer.

Use the result above to find A5

A =
4 0 −4
5 −1 −4
6 0 −6

Solutions

Expert Solution

Colby Messinger answered 2 years ago
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