Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 &
FURTHER MATHEMATICS
WAEC 2007
Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Evaluate \(|Q|P\).
- A. \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
- B. \(\begin{pmatrix} 8 & 18 \end{pmatrix}\)
- C. \(\begin{pmatrix} 8 & 0 \end{pmatrix}\)
- D. \(\begin{pmatrix} 1 & 2 \end{pmatrix}\)
Correct Answer: A. \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
Explanation
\(|Q| = \begin{vmatrix} -1 & -2 \\ 3 & 2 \end{vmatrix}\)
= \(-2 - (-6) = 4\)
\(4P = 4\begin{pmatrix} 4 & 9 \end{pmatrix}\)
= \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
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