Inverse matrix in Matlab

To calculate the inverse of a square matrix in Matlab, use the inv() function.

inv(m),

where m is a matrix array.

How it Works

First, define a square matrix and assign it to a variable, here called M:

M = [1,2;3,4]

In this example, M is a 2x2 matrix:

$$ M= \begin{pmatrix} 1 & 2 \\
3 & 4 \end{pmatrix} $$

Next, compute the inverse matrix using the inv() function and store the result in the variable M2:

M2 = inv(M)

The content in M2 is the inverse of M, with decimal-format elements:

$$ \begin{pmatrix} -2.00000 & 1.00000 \\
1.50000 & -0.50000 \end{pmatrix} $$

This can also be represented as $$ M2 = \begin{pmatrix} -2 & 1 \\
1.5 & -0.5 \end{pmatrix} $$