दर्शाइए कि $\left[\begin{array}{rr}5 & -1 \\ 6 & 7\end{array}\right]\left[\begin{array}{ll}2 & 1 \\ 3 & 4\end{array}\right] $ $\neq$ $\left[\begin{array}{ll}2 & 1 \\ 3 & 4\end{array}\right]\left[\begin{array}{rr}5 & -1 \\ 6 & 7\end{array}\right]$
Exercise-3.2-14(1)
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$\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]\left[\begin{array}{cc} 2 & 1 \\ 3 & 4 \end{array}\right]$ = $\left[\begin{array}{cc} 10-3 & 5-4 \\ 12+21 & 6+28 \end{array}\right]$ = $\left[\begin{array}{cc} 7 & 1 \\ 33 & 34 \end{array}\right]$
$\left[\begin{array}{ll} 2 & 1 \\ 3 & 4 \end{array}\right]\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]$ = $\left[\begin{array}{cc} 10+6 & -2+7 \\ 15+24 & -3+28 \end{array}\right]$ = $\left[\begin{array}{cc} 16 & 5 \\ 39 & 25 \end{array}\right]$
अतः $\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]\left[\begin{array}{cc} 2 & 1 \\ 3 & 4 \end{array}\right] $$\neq$ $\left[\begin{array}{cc} 2 & 1 \\ 3 & 4 \end{array}\right]$$\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]$
$\left[\begin{array}{ll} 2 & 1 \\ 3 & 4 \end{array}\right]\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]$ = $\left[\begin{array}{cc} 10+6 & -2+7 \\ 15+24 & -3+28 \end{array}\right]$ = $\left[\begin{array}{cc} 16 & 5 \\ 39 & 25 \end{array}\right]$
अतः $\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]\left[\begin{array}{cc} 2 & 1 \\ 3 & 4 \end{array}\right] $$\neq$ $\left[\begin{array}{cc} 2 & 1 \\ 3 & 4 \end{array}\right]$$\left[\begin{array}{cc} 5 & -1 \\ 6 & 7 \end{array}\right]$
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