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3 years ago

Evaluate 3(3M + N) if possible.

Mathematics

1 answer:

IRISSAK [1]3 years ago

4 0

Answer:

Step-by-step explanation:

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

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

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

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