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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.

`cat` | Concatenate symbolic arrays along specified dimension |

`colon` | Create symbolic vectors, array subscripting, and for-loop iterators |

`horzcat` | Concatenate symbolic arrays horizontally |

`numel` | Number of elements of symbolic array |

`size` | Symbolic matrix dimensions |

`sort` | Sort elements of symbolic vectors or matrices |

`vertcat` | Concatenate symbolic arrays vertically |

`adjoint` | Adjoint of symbolic square matrix |

`cond` | Condition number of matrix |

`det` | Compute determinant of symbolic matrix |

`equationsToMatrix` | Convert set of linear equations to matrix form |

`inv` | Compute symbolic matrix inverse |

`linsolve` | Solve linear system of equations given in matrix form |

`norm` | Norm of matrix or vector |

`pinv` | Moore-Penrose inverse (pseudoinverse) of symbolic matrix |

`rank` | Find rank of symbolic matrix |

`rref` | Reduced row echelon form of matrix (Gauss-Jordan elimination) |

`curl` | Curl of vector field |

`divergence` | Divergence of vector field |

`gradient` | Gradient vector of scalar function |

`hessian` | Hessian matrix of scalar function |

`jacobian` | Jacobian matrix |

`laplacian` | Laplacian of scalar function |

`potential` | Potential of vector field |

`vectorPotential` | Vector potential of vector field |

`hermiteForm` | Hermite form of matrix |

`jordan` | Jordan form of matrix |

`smithForm` | Smith form of matrix |

`bernsteinMatrix` | Bernstein matrix |

`toeplitz` | Symbolic Toeplitz matrix |

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.

Linear algebra with symbolic expressions and functions.

Singular value decomposition (SVD) of a matrix.

Find eigenvalues, characteristic polynomials, and determinants of matrices.

Convert matrix to Jordan normal form (Jordon canonical form).

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