Question

Find the product, if possible of : $\left[\begin{array}{ccc}3&-2\\1&6\end{array}\right] \left[\begin{array}{ccc}4&-1\\2&5\end{array}\right]$

Answer 1

Answer:

$\left[\begin{array}{ccc}8&-13\\16&29\end{array}\right]$

Step-by-step explanation:

$\left[\begin{array}{ccc}3&-2\\1&6\end{array}\right] \left[\begin{array}{ccc}4&-1\\2&5\end{array}\right]$

$= \left[\begin{array}{ccc}3 \times4 + (-2) \times 2&3 \times (-1) + (-2) \times 5\\1 \times 4 + 6 \times 2&1 \times (-1) + 6 \times 5\end{array}\right]$

$= \left[\begin{array}{ccc}8&-13\\16&29\end{array}\right]$