# Proof of diagonalizability

Verify:

(a) If A is diagonalizable and B is similar to A then B is also diagonalizable.

(b) If {see attachment} and x is an eigenvector of A corresponding to an eigenvalue ... {see attachment for complete question

https://brainmass.com/math/linear-algebra/proof-diagonalizability-29468

#### Solution Preview

Proof.

(1) Since A is diagonalizable, namely, there exists a nonsingular matrix P such that

So,

Since A and B are ...

#### Solution Summary

This is a proof regarding diagonalizability.

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