About: Eigenvalues and eigenvectors   Sponge Permalink

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An eigenvector of an n×n matrix is a vector that does not change its direction under a linear transformation; that is, if is a non-zero vector and is a scalar (the eigenvalue of ), Eigenvalues can be real or complex. The product of the eigenvalues is the determinant of the matrix, and the linear span of an eigenvector is called an eigenspace.

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  • Eigenvalues and eigenvectors
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  • An eigenvector of an n×n matrix is a vector that does not change its direction under a linear transformation; that is, if is a non-zero vector and is a scalar (the eigenvalue of ), Eigenvalues can be real or complex. The product of the eigenvalues is the determinant of the matrix, and the linear span of an eigenvector is called an eigenspace.
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  • An eigenvector of an n×n matrix is a vector that does not change its direction under a linear transformation; that is, if is a non-zero vector and is a scalar (the eigenvalue of ), Eigenvalues can be real or complex. The product of the eigenvalues is the determinant of the matrix, and the linear span of an eigenvector is called an eigenspace.
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