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Linear Algebra

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Moderate

Eigenvalues of Inverse

LINALG-ENJNKB

If $A$ is an invertible $2\times 2$ matrix with eigenvalues $3$ and $-5$ then the eigenvalues of $A^{-1}$ are:

A

$-3$ and $5$

B

$-\cfrac{1}{3}$ and $\cfrac{1}{5}$

C

$\cfrac{1}{3}$ and $-\cfrac{1}{5}$

D

Impossible to determine without more information.