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

Defective Matrix

... matrix is a square matrix that does not have a complete basis of

... matrix is a square matrix that does not have a complete basis of

**eigenvectors**, and is therefore not diagonalizable ... × 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 ...Eigenvalues And Eigenvectors - Eigenvalues and Eigenvectors of Matrices - Algebraic and Geometric Multiplicities

... are two numbers measuring, roughly speaking, the number of

... are two numbers 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 ...### Famous quotes containing the word independent:

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An *independent* being in his day—”

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