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Particular types of matrices
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Echelon matrices
Definition of unit matrix
Definition of permutation matrix
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The eigenvalues of a triangular matrix are the entries on the main diagonal.
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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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Formula for the determinant of a 2-by-2 matrix.
Created over 8 years ago, updated 2 months ago
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Formula:
For a $2 \times 2$ matrix:
$$\det\begin{pmatrix} a & b \\ c & d \end{pmatrix} = ad - bc$$
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Particular types of matrices