Find inverse, by elementary row operations (if possible), of the matrices. [(1,3),(-5,7)]

Question

Find inverse, by elementary row operations (if possible), of the matrices.

\(\begin{bmatrix} 1 & 3 \\[0.3em] -5 & 7 \end{bmatrix}\)

Answer 1

To apply elementary row transformations we write:

A = IA where I is the identity matrix

We proceed with operations in such a way that LHS becomes I and the transformations in I give us a new matrix such that

I = XA

And this X is called inverse of A = A^-1

So we have:

As we got Identity matrix in LHS.