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

A^k = PB^kP⁻¹,

where k is a positive integer.

Use the result above to find A⁵

A =

−4

−1

−4

−6

Solutions

Expert Solution

Colby Messinger answered 11 months ago

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