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Defective matrix

In linear algebra, a defective matrix is a square matrix that does not have a complete basis of eigenvectors, and is therefore not diagonalizable. In particular, an n × n {\displaystyle n\times n} matrix is defective if and only if it does not have n {\displaystyle n} linearly independent eigenvectors. A complete basis is formed by augmenting the…

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Defective matrix

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Triples1
Avg. degree1.92
Density0.076923
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Defective matrix

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Defective matrix → square matrix that does not have a complete basis of eigenvectors

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defective eigenvectors matrix displaystyle linearly independent algebraic eigenvalue multiplicity times lambda jordan basis eigenvalues one normal generalized form distinct complete

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Defective matrixis asquare matrix that does not have a complete basis of eigenvectors0.90text

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