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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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  • Definition of orthogonal matrix
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  • The eigenvalues of a triangular matrix are the entries on the main diagonal.
  • A matrix with real entries has eigenvalues occurring in conjugate pairs.
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  • 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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Description:Added 2x2 determinant formula
# Formula for the determinant of a 2-by-2 matrix.

Put content here.**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
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