Question

Evaluate 3(3M + N) if possible.

Answer 1

Explanation:

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

`3M + N = \left[\begin{array}{cc}9+1&6+2&\\0+3&3+4&\\3+5&9+6&\end{array}\right]\\\\\\= \left[\begin{array}{cc}10&8&\\3&7&\\8&15&\end{array}\right]`

`3(3M + N) = \left[\begin{array}{cc}3*10&3*8&\\3*3&3*7&\\8*3&15*3&\end{array}\right]\\\\\\=\left[\begin{array}{cc}30&24&\\9&21&\\24&45&\end{array}\right]`