The matrix A satisfying the equation [(1,3),(0,1)]A = [(1,1),(0,-1)] is ... (a) [(1,4),(-1,0)] (b) [(1,-4),(1,0)] (c) [(1,4),(0,-1)]

Question

The matrix A satisfying the equation \(\begin{bmatrix} 1 &3 \\[0.3em]0&1\end{bmatrix}\)A = \(\begin{bmatrix} 1 &1 \\[0.3em]0&-1\end{bmatrix}\) is ... 

(a) \( \begin{bmatrix} 1 &4 \\[0.3em]-1&0\end{bmatrix}\)

(b) \(\begin{bmatrix} 1 &-4 \\[0.3em]1&0\end{bmatrix}\)

(c) \(\begin{bmatrix} 1 &4 \\[0.3em]0&-1\end{bmatrix}\)

(d) \(\begin{bmatrix} 1 &-4 \\[0.3em]1&1\end{bmatrix}\)

Answer 1

(c) \(\begin{bmatrix} 1 &4 \\[0.3em]0&-1\end{bmatrix}\)