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# Invertible matrix and Scalars watch

1. hello i have two questions infont of me that i dont no how to start or even do, they are as followed...

Let A = (4 2)
(-3 -1)
(A)Find an invertible matrix P such that P^-1AP is diagonal, compute P^-1.

(B) Find scalars U1 and U2 such that A^6=U1A^5 + U2A^4

2. (A)
Let D be the diagonal matrix such that .

Then D contains the eigenvalues of A along its diagonal, and P has the corresponding eigenvectors as its columns.

(B)

Then note that . (as )

From there it should be inspection.

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