Question: Let A be positive definite with eigenvalues ),1, ... ,),n' Show that A-I has eigenvalues 1/),1. 1/),n and the same eigenvectors as A.

Let A be positive definite with eigenvalues ),1, ... ,),n'

Show that A-I has eigenvalues 1/),1."" 1/),n and the same eigenvectors as A.

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