Using elementary row transformations, find the inverse of each of the following matrices:

Question

Philoid · Accepted Answer

Let, A =

Now we are going to write the Augmented Matrix followed by matrix A and the Identity matrix I, i.e.,

, where I =

Now our job is to convert the matrix A into Identity Matrix. Therefore, the matrix we will get converting the matrix I will be our A^-1.

Here, the matrix A is converted into the Identity matrix. Therefore, we get the A^-1 as,

A^-1 = [Answer]

The value of A^-1 is correct or not can be verified by the formula: AA^-1 = I