If A=⎡⎢⎣067−6087−80⎤⎥⎦,B=⎡⎢⎣011102120⎤⎥⎦,C – InterviewSolution

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1.	If A=⎡⎢⎣067−6087−80⎤⎥⎦,B=⎡⎢⎣011102120⎤⎥⎦,C=⎡⎢⎣2−23⎤⎥⎦, Calculate AC,BC and (A+B)C. Also, verify that (A+B)C=AC+BC.
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 6 & 7 - 6 & 0 & 8 7 & - 8 & 0 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 1 1 & 0 & 2 1 & 2 & 0 \end{matrix} ⎤ ⎥ ⎦, C = ⎡ ⎢ ⎣ \begin{matrix} 2 - 2 3 \end{matrix} ⎤ ⎥ ⎦$ , Calculate $A C, B C$ and $(A + B) C .$ Also, verify that $(A + B) C = A C + B C$ .

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