## INV Invert Matrix

Section: Transforms/Decompositions

### Usage

Inverts the argument matrix, provided it is square and invertible. The syntax for its use is

       y = inv(x)

Internally, the `inv` function uses the matrix divide operators. For sparse matrices, a sparse matrix solver is used.

### Example

Here we invert some simple matrices

    --> a = randi(zeros(3),5*ones(3))

    a =
     1 4 3
     1 1 3
     1 4 5

    --> b = inv(a)

    b =
        1.1667    1.3333   -1.5000
        0.3333   -0.3333         0
       -0.5000         0    0.5000

    --> a*b

    ans =
        1.0000         0         0
        0.0000    1.0000         0
             0         0    1.0000

    --> b*a

    ans =
        1.0000    0.0000         0
             0    1.0000    0.0000
             0         0    1.0000