Show that the following matrices are inverse of each other
1 2
4 6
-3 1
2 -1/2
Given $\displaystyle X = \left[ {\begin{array}{rr}
1 & 2 \\
4 & 6 \\
\end{array} } \right]\,\& \,Y = \left[ {\begin{array}{rr}
{ - 3} & 1 \\
2 & { - 1/2} \\ \end{array} } \right]$
You must show that $\displaystyle XY = YX = \left[ {\begin{array}{cc}
1 & 0 \\
0 & 1 \\ \end{array} } \right]$