# Matrix Functions - Numerical Linear Algebra

```----------------------------------------------------------------
Matrix Analysis
----------------------------------------------------------------
cond         Matrix condition number.
det          Determinant.
etree        Elimination tree of a matrix.
norm         Matrix or vector norm.
null         Null space.
orth         Orthogonalization.
rcond        LINPACK reciprocal condition estimator.
rank         Number of linearly independent rows or columns.
rref         Reduced row echelon form.
subspace     Angle between two subspaces.
trace        Sum of diagonal elements.
----------------------------------------------------------------
```
```-------------------------------------------------------------------
Linear Equations
-------------------------------------------------------------------
chol         Cholesky factorization.
inv          Matrix inverse.
lscov        Least squares in the presence of known covariance.
lu           Factors from Gaussian elimination.
nnls         Non-negative least-squares.
pinv         Pseudoinverse.
qr           Orthogonal-triangular decomposition.
\ and /      Linear equation solution.
-------------------------------------------------------------------
```
```----------------------------------------------------------------------------------
Eigenvalues and Singular Values
----------------------------------------------------------------------------------
balance      Diagonal scaling to improve eigenvalue accuracy.
cdf2rdf      Complex diagonal form to real block diagonal form.
eig          Eigenvalues and eigenvectors.
hess         Hessenberg form.
poly         Characteristic polynomial.
qz           Generalized eigenvalues.
rsf2csf      Real block diagonal form to complex diagonal form.
schur        Schur decomposition.
svd          Singular value decomposition.
----------------------------------------------------------------------------------
```
```---------------------------------------------------
Matrix Functions
---------------------------------------------------
expm         Matrix exponential.
funm         Evaluate general matrix function.
logm         Matrix logarithm.
sqrtm        Matrix square root.
---------------------------------------------------
```
```----------------------------------------------------------
Low Level Functions
----------------------------------------------------------
qrdelete     Delete columns from QR factorization.
qrinsert     Insert columns into QR factorization.
----------------------------------------------------------
```

(c) Copyright 1994 by The MathWorks, Inc.