Question

Find the indicated Matrix, if possible. Show and explain your work. 3A +B\

Answer 1

`3A + B = \begin{pmatrix} 10 & -8 \\ 24 & -1 \end{pmatrix}`

Explanation:

To multiply a matrix by a scalar, we simply multiply each element in the matrix by the scalar:

Now since these matrices have the same order (2 by 2), we can just add each element in the corresponding position together to get our answer:

`3A + B = \begin{pmatrix} 12-2 & -12+4 \\ 21+3 & 6-7 \end{pmatrix} \\\\\\\\ 3A + B = \begin{pmatrix} 10 & -8 \\ 24 & -1 \end{pmatrix}`