Question

Find the inverse of each of the following matrices by using elementary row transformation.

(i) \(\begin{bmatrix} 1 & 2 \\ 2 & -1 \\ \end{bmatrix}\)

(ii) \(\begin{bmatrix} 2 & 5 \\ 1 & 3 \\ \end{bmatrix}\)    

(iii) \(\begin{bmatrix} 2 & -1 & 4 \\ 4 & 0 & 2 \\ 3 & -2 & 7\end{bmatrix}\)

(iv) \(\begin{bmatrix} 3 & 0 & -1 \\ 2 & 3 & 0 \\ 0 & 4 & 1\end{bmatrix}\)

Answer 1

 (i)  \(\begin{bmatrix} 1 & 2 \\ 2 & -1 \\ \end{bmatrix}\)

(ii) \(\begin{bmatrix} 2 & 5 \\ 1 & 3 \\ \end{bmatrix}\)

(iii) \(\begin{bmatrix} 2 & -1 & 4 \\ 4 & 0 & 2 \\ 3 & -2 & 7\end{bmatrix}\)

(iv) \(\begin{bmatrix} 3 & 0 & -1 \\ 2 & 3 & 0 \\ 0 & 4 & 1\end{bmatrix}\)