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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