Question

Find the product, if possible of : $\left[\begin{array}{ccc}2&1&4\\6&-2&3\end{array}\right] \left[\begin{array}{ccc}1\\2\\1\end{array}\right]$

Answer 1

Answer:

$= \left[\begin{array}{cc}8\\5 \end{array}\right]$

Step-by-step explanation:

$\left[\begin{array}{ccc}2&1&4\\6&-2&3\end{array}\right] \left[\begin{array}{ccc}1\\2\\1\end{array}\right]$

$= \left[\begin{array}{cc}2 \times 1 + 1 \times 2 + 4 \times 1\\6 \times 1 + (-2) \times 2 + 3 \times 1\end{array}\right]$

$= \left[\begin{array}{cc}2+ 2 + 4\\6 -4 + 3 \end{array}\right]$

$= \left[\begin{array}{cc}8\\5 \end{array}\right]$