Question: Prove the linear algebraic statements: 1. Let lambda be an eigenvalue of an invertible matrix A. Show that lambda^(-1) is an eigenvalue of A^(-1) 2.

Prove the linear algebraic statements:

1. Let lambda be an eigenvalue of an invertible matrix A. Show that lambda^(-1) is an eigenvalue of A^(-1)

2. If A is similar to B then A^2 is similar to B^2

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