Find the inverse of the matrices by using elementary row transformations (\begin{bmatrix} 5 & 2\[0.3em] 2 & 1\end{bmatrix})
From the row transformation
A = IA
On applying R1→ (1/5)R1
On applying R2→ R2- 2R1
On applying R2→ -5R2
On applying R1→ R1- (2/5)R2
As we know
I = A-1 A
So
