Finding the inverse of a matrix

To find the inverse of a matrix:

1. Put your matrix next to an identity matrix of the same size, on the right hand side, drawing a vertical line to clearly distinguish between the two
   
2. Perform row operations until the identity matrix is on the left hand side
3. The matrix now on the right is the inverse of your original matrix

'LAYMANS TERMS' DEFINITIONS
Identity Matrix - a matrix that contains all 1s on the main diagonal, and zeros elsewhere
Inverse Matrix - a matrix that when multiplied by another matrix results in the identity matrix
Row Operation - performing calculations row by row on a whole matrix. This could be multiplying, adding, subtracting or dividing a row by another row or a number.


EXAMPLE
(See image on right for example -
Click on image to make it larger if needed)