Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
