Question

In the given matrices:

Find 3A
Find 2B
Find 3A + 2B

Answer 1

Answer:

Step-by-step explanation:

$3\left[\begin{array}{ccc}2&0\\1&3\end{array}\right]=\left[\begin{array}{ccc}2*3&0*3\\1*3&3*3\end{array}\right]\\left[\begin{array}{ccc}6&0\\3&9\end{array}\right]\\3A=\left[\begin{array}{ccc}6&0\\3&9\end{array}\right]$

$2\left[\begin{array}{ccc}1&0\\-3&2\end{array}\right]=\left[\begin{array}{ccc}1*2&0*2\\-3*2&2*2\end{array}\right]=\left[\begin{array}{ccc}2&0\\-6&4\end{array}\right]\\\\2B=\left[\begin{array}{ccc}2&0\\-6&4\end{array}\right]$$3A+2B =\left[\begin{array}{ccc}6&0\\3&9\end{array}\right] +\left[\begin{array}{ccc}2&0\\-6&4\end{array}\right]=\left[\begin{array}{ccc}6+2&0+0\\3-6&9+4\end{array}\right]=\left[\begin{array}{ccc}8&0\\-3&13\end{array}\right]$