Linear algebra is the study of linear equations and their properties. Symbolic Math Toolbox™ provides functions to solve systems of linear equations. You can also analyze, transform, and decompose matrices using Symbolic Math Toolbox functions.
Matrix Operations and Transformations
|Concatenate symbolic arrays along specified dimension|
|Create symbolic vectors, array subscripting, and |
|Concatenate symbolic arrays horizontally|
|Sort elements of symbolic arrays|
|Concatenate symbolic arrays vertically|
Solving Linear Equations
|Classical adjoint (adjugate) of square matrix|
|Condition number of matrix|
|Determinant of symbolic matrix|
|Convert linear equations to matrix form|
|Inverse of symbolic matrix|
|Solve linear equations in matrix form|
|Norm of vector or matrix|
|Moore-Penrose inverse (pseudoinverse) of symbolic matrix|
|Find rank of symbolic matrix|
|Reduced row echelon form of matrix (Gauss-Jordan elimination)|
Matrix Factorization and Decomposition
Eigenvalues and Eigenvectors
Matrix Analysis & Vector Calculus
Normal Forms and Special Matrices
This example shows how to perform simple matrix computations using Symbolic Math Toolbox™.
Linear algebra with symbolic expressions and functions.
Solve systems of linear equations in matrix or equation form.
Perform algebraic operations on symbolic expressions and function.
Singular value decomposition (SVD) of a matrix.
Find eigenvalues, characteristic polynomials, and determinants of matrices.
Convert matrix to Jordan normal form (Jordan canonical form).
This example shows how to solve the eigenvalue problem of the Laplace operator on an L-shaped region.
This example shows how to compute the inverse of a Hilbert matrix using Symbolic Math Toolbox™.