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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