Calculate Inverse Matrix

Now that you know what an inverse matrix is, you can calculate the inverse matrix. Finding the inverse matrix involve applying a series of changes to the rows of identity matrix. We will illustrate how to calculate an inverse matrix below.

How to calculate inverse matrix?

In order to calculate the inverse of a matrix, we have to change the rows of the identity matrix which when applied to matrix A will transform it to the identity matrix. There are two ways to change the rows in finding the inverse matrix. This is a way to calculate the inverse matrix.

The two ways to change rows of a matrix to find the inverse matrix are:

1. Multiply any row by a constant
2. Add or subtract any multiple of one row to and from another row

Let's use the example previously used, A.

The row transformations can be made more easily on A and the identity matrix if they are written in the form of a partitioned matrix as follows.

Subtract  3/2 times the second row from the first.

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