Question

Help me please with this question

Answer 1

see explanation

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]`