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What can you say about the eigenvalues and eigenvectors of \(A^{-1} ?\) Justify your response.

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Let \(A\) be an invertible matrix with eigenvalues \(\lambda_{1}, \lambda_{2}, \ldots, \lambda_{k}\) and corresponding eigenvectors \(\vec{v}_{1}, \vec{v}_{2}, \ldots, \vec{v}_{k}\). What can you say about the eigenvalues and eigenvectors of \(A^{-1} ?\) Justify your response.
in Mathematics by Platinum (102k points) | 293 views

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