Linear algebra
From Mathematics wiki
Contents |
Linear equations
- System of linear equations
- Matrix
- Linear dependence
- Gaussian elimination
- Determinant
- Laplace expansion
- Matrix inverse
- Gauss–Jordan elimination
Matrix operations
Vectors and vector spaces
Eigenvalue problem
- Eigenvector
- Eigenvalue
- Characteristic equation
- Characteristic polynomial
- Cayley–Hamilton theorem
- Diagonalization
- Simultaneous diagonalization of commuting normal matrices
Special matrices
- Real matrix
- Complex matrix
- Orthogonal matrix
- Symmetric matrix
- Antisymmetric matrix
- Hermitian matrix
- Anti-Hermitian matrix
- Unitary matrix
- Normal matrix
Multilinear algebra
Exterior algebra
Decomposition
Computation
- Calculus of matrices
- Matrix square root
- Matrix exponential
- Baker-Campbell-Hausdorff formula
- Triple product
- Quadruple product
Random matrix theory
See: Random matrix theory (subject)
