2000017108

For what values of the real parameters $a$ and $b$ will the matrices given below be inverse to each other? $$\left(\begin{array}{cc}a& 7\\ 3& 1\end{array}\right),\left(\begin{array}{cc}-\frac{1}{16}& \frac{7}{16}\\ b& -\frac{5}{16}\end{array}\right)$$