Question

Help me please with this question

Answer 1

Answer:

see explanation

Step-by-step explanation:

2B + 3C

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

Multiply each element in the matrices by the scalar quantity, that is

= $\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right]$ + $\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right]$

Add corresponding elements from each matrix

= $\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right]$

= $\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right]$