Evaluate the following: 1&2&3 1&0&2 2&0&1 0&1&2 2 4 6 - Vidyadip

Question

Evaluate the following:
$\begin{bmatrix}1&2&3\end{bmatrix}\begin{bmatrix}1&0&2\\2&0&1\\0&1&2\end{bmatrix}\begin{bmatrix}2\\4\\6\end{bmatrix}$

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Answer

$\begin{bmatrix}1&2&3\end{bmatrix}\begin{bmatrix}1&0&2\\2&0&1\\0&1&2\end{bmatrix}\begin{bmatrix}2\\4\\6\end{bmatrix}$
$\Rightarrow\begin{bmatrix}1+4+0&0+0+3&2+2+6\end{bmatrix}\begin{bmatrix}2\\4\\6\end{bmatrix}$
$\Rightarrow\begin{bmatrix}5&3&10\end{bmatrix}\begin{bmatrix}2\\4\\6\end{bmatrix}$
$\Rightarrow[10+12+60]$
$\Rightarrow[82]$

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