Question

Find the matrix product. Note that each product can b 2 4 2 0 6 80 2 2 4 2 0 (Simplify your answer.) 6 8 0 2

Answer 1

$\large \begin{pmatrix}2&4\\ 6&8\end{pmatrix}\begin{pmatrix}2&0\\ 0&2\end{pmatrix}$

$\large =\begin{pmatrix}2\cdot \:2+4\cdot \:0&2\cdot \:0+4\cdot \:2\\ 6\cdot \:2+8\cdot \:0&6\cdot \:0+8\cdot \:2\end{pmatrix}$

$\large {\color{Red} =\begin{pmatrix}4&8\\ 12&16\end{pmatrix}}$