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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 \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Which of the following operations is possible?

  • A. \(QP\)
  • B. \(P^{2}\)
  • C. \(Q^{2}P\)
  • D. \(PQ\)
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Correct Answer: Option D
Explanation

A \(1 \times 2\) matrix can be multiplied by \(2 \times 2\) matrix to give a \(1 \times 2\) matrix.


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