### Some articles on *eigenvectors, linearly independent eigenvectors*:

Defective Matrix

... that does not have a complete basis of

... that does not have a complete basis of

**eigenvectors**, and is therefore not diagonalizable ... In particular, an n × n matrix is defective if and only if it does not have n**linearly independent eigenvectors**... A complete basis is formed by augmenting the**eigenvectors**with generalized**eigenvectors**, which are necessary for solving defective systems of ordinary differential equations ...Eigenvalues And Eigenvectors - Eigenvalues and Eigenvectors of Matrices - Algebraic and Geometric Multiplicities

... measuring, roughly speaking, the number of

... measuring, roughly speaking, the number of

**eigenvectors**belonging to λi ... number of**linearly independent eigenvectors**with that eigenvalue ... The total number of**linearly independent eigenvectors**, Nx, is given by summing the geometric multiplicities Over a complex vector space, the sum of the algebraic multiplicities will equal the ...### Famous quotes containing the word independent:

“[My father] was a lazy man. It was the days of *independent* incomes, and if you had an *independent* income you didn’t work. You weren’t expected to. I strongly suspect that my father would not have been particularly good at working anyway. He left our house in Torquay every morning and went to his club. He returned, in a cab, for lunch, and in the afternoon went back to the club, played whist all afternoon, and returned to the house in time to dress for dinner.”

—Agatha Christie (1891–1976)

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