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    Can an Invertible Matrix Have Zero as an Eigenvalue?

    Homework Statement Let B be an invertible matrix a.) Verify that B cannot have zero as an eigenvalue. b.) Verify that if \lambda is an eigenvalue of B, then \lambda^{-1}^ is an eigenvalue of B^{-1}. Homework Equations Bv = \lambdav, where v\neq0The Attempt at a Solution a.) I'm pretty sure...
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