Main Content

Linear algebra operations on symbolic vectors and
matrices

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.

This example shows how to perform simple matrix computations using Symbolic Math Toolbox™.

Linear algebra with symbolic expressions and functions.

**Solve System of Linear Equations**

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).

**Eigenvalues of the Laplace Operator**

This example shows how to solve the eigenvalue problem of the Laplace operator on an L-shaped region.

**Hilbert Matrices and Their Inverses**

This example shows how to compute the inverse of a Hilbert matrix using Symbolic Math Toolbox™.