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Particular types of matrices
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Echelon matrices
Definition of unit matrix
Definition of permutation matrix
Elementary matrices
Triangular matrices
Block matrices
Symmetric matrices
Nilpotent matrices
Definition of orthogonal matrix
Unitary matrices
Definition of band matrix
Definition of Vandermonde matrix
Definition of Markov matrix
Hermitian matrices
Normal matrices
The eigenvalues of a triangular matrix are the entries on the main diagonal.
A matrix with real entries has eigenvalues occurring in conjugate pairs.
Hermitian matrices have real eigenvalues.
Distinct eigenvalues of a Hermitian matrix have orthogonal eigenvectors.
Definition of positive-definite matrix
Formula for the determinant of a 2-by-2 matrix.
Formula for the determinant of a 3-by-3 matrix.
The determinant of a triangular matrix is the product of the entries on the diagonal.
Theorem describing the determinants of elementary matrices.
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Theorem describing the determinants of elementary matrices.
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Particular types of matrices