Inverse of Matrix

Applet 2.4 : Inverse of Matrix

For a m x m matrix A, consider the augmented matrix P := [ A | I_m], where I_m is the m x m identity matrix. We apply elementary row operations to P so that A is begin to reduce to Row Echelon Form

. Let this change P to

= [

| B ]. If

= I_m, then A is invertible and B =

. The following applet helps you to check for matrix A.

Select your choice of entries to be represented as fraction or decimal.
Select the order of the matrix and click OK button. This will display a matrix of your choice. You can change the entries of the matrix.
Click on the button Display the matrix [ A | I_m ].
You can perform elementary row operations. The display panel will show the previous step and last step.
Your aim is to bring A to reduced Row Echelon Form for inevitability of A.

Reload Applet

-:-