Q. 115.0( 2 Votes )

# 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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