Evaluate \(\begin{pmatrix} 2 & 3 \\ 4 & 1 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix}\).
FURTHER MATHEMATICS
WAEC 2009
Evaluate \(\begin{pmatrix} 2 & 3 \\ 4 & 1 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix}\).
- A. (13, 11)
- B. (11, 13)
- C. \(\begin{pmatrix} 13 \\ 11 \end{pmatrix}\)
- D. \(\begin{pmatrix} 11 \\ 13 \end{pmatrix}\)
Correct Answer: C. \(\begin{pmatrix} 13 \\ 11 \end{pmatrix}\)
Explanation
\(\begin{pmatrix} 2 & 3 \\ 4 & 1 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix}\)
= \(\begin{pmatrix} 2 \times 2 + 3 \times 3 \\ 4 \times 2 + 1 \times 3 \end{pmatrix}\)
= \(\begin{pmatrix} 13 \\ 11 \end{pmatrix}\)
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