Social Sciences, asked by austin3309, 1 year ago

Maximum number of linearly independent eigenvectors

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Answered by Anonymous
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 an n matrix which is diagonalizable must have a set of n linearly independent eigenvectors -- the columns of the diagonalizing matrix are such a set. In general, if an n matrix has k distinct eigenvalues, then there may in general be anywhere between k and n linearly independent eigenvectors.
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