If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.
A. \(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)
B. \(\begin{pmatrix} 2 & 7 \\ 4 & 17 \end{pmatrix}\)
C. \(\begin{pmatrix} 10 & 4 \\ 4 & 6 \end{pmatrix}\)
D. \(\begin{pmatrix} 4 & 3 \\ 10 & 9 \end{pmatrix}\)
Correct Answer: A
Explanation
\(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\);Â y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\).
= \(\begin{pmatrix} 2 + 8 & 1 + 6 \\ 0 + 12 & 0 + 9 \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)
