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
\(\begin{pmatrix} 4 & 3 \\ 10 & 9 \end{pmatrix}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\); y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\).
= \(\begin{pmatrix} 2 + 8 & 1 + 6 \\ 0 + 12 & 0 + 9 \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)
Source: Myschool Past Questions Archive (Record #30923)