Show that (i)[5−167][2134]≠[2134][5−167] (ii)⎡⎢⎣123010110�

1.	Show that (i)[5−167][2134]≠[2134][5−167] (ii)⎡⎢⎣123010110⎤⎥⎦⎡⎢⎣−1100−11234⎤⎥⎦≠⎡⎢⎣−1100−11234⎤⎥⎦⎡⎢⎣123010110⎤⎥⎦
Answer» Show that $(i) [\begin{matrix} 5 & - 1 6 & 7 \end{matrix}] [\begin{matrix} 2 & 1 3 & 4 \end{matrix}] \neq [\begin{matrix} 2 & 1 3 & 4 \end{matrix}] [\begin{matrix} 5 & - 1 6 & 7 \end{matrix}]$ $(i i) ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 0 1 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} - 1 & 1 & 0 0 & - 1 & 1 2 & 3 & 4 \end{matrix} ⎤ ⎥ ⎦ \neq ⎡ ⎢ ⎣ \begin{matrix} - 1 & 1 & 0 0 & - 1 & 1 2 & 3 & 4 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 0 1 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦$

Show that (i)[5−167][2134]≠[2134][5−167] (ii)⎡⎢⎣123010110⎤⎥⎦⎡⎢⎣−1100−11234⎤⎥⎦≠⎡⎢⎣−1100−11234⎤⎥⎦⎡⎢⎣123010110⎤⎥⎦

Answer»

Show that $(i) [\begin{matrix} 5 & - 1 6 & 7 \end{matrix}] [\begin{matrix} 2 & 1 3 & 4 \end{matrix}] \neq [\begin{matrix} 2 & 1 3 & 4 \end{matrix}] [\begin{matrix} 5 & - 1 6 & 7 \end{matrix}]$

$(i i) ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 0 1 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} - 1 & 1 & 0 0 & - 1 & 1 2 & 3 & 4 \end{matrix} ⎤ ⎥ ⎦ \neq ⎡ ⎢ ⎣ \begin{matrix} - 1 & 1 & 0 0 & - 1 & 1 2 & 3 & 4 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 0 1 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦$

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Show that (i)[5−167][2134]≠[2134][5−167] (ii)⎡⎢⎣123010110⎤⎥⎦⎡⎢⎣−1100−11234⎤⎥⎦≠⎡⎢⎣−1100−11234⎤⎥⎦⎡⎢⎣123010110⎤⎥⎦

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