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: Option A
Explanation
(|Q| = begin{vmatrix} -1 & -2 \ 3 & 2 end{vmatrix})
= (-2 – (-6) = 4)
(4P = 4begin{pmatrix} 4 & 9 end{pmatrix})
= (begin{pmatrix} 16 & 36 end{pmatrix})