Q. 1

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

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 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

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