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(1.) TRUE or FALSE? - Dartmouth Math Home
(1.) TRUE or FALSE? - Dartmouth Math Home

... (1.) TRUE or FALSE? (a.) Every linear operator on an n-dimensional vector space has n distinct eigenvalues. FALSE. There are linear operators with no eigenvalues, and problem (1) from last time gives another counterexample. However, there are at most n distinct eigenvalues. (b.) If a real matrix has ...
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Determinant

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