Question

Find the values of x, y and z if $\left[\begin{array}{ccc}x& 5& 4\\ 5& 9& 1\end{array}\right]=\left[\begin{array}{ccc}3& 5& z\\ 5& y& 1\end{array}\right]$

Answer 1

As the given matrices are equal, their corresponding element must be equal.
Comparing the corresponding elements, we get $x=3,y=9andz=4$