If P begin vmatrix 5 amp 3 2 amp 1 end vmatrix ... - JAMB Mathematics 2013 Question
If P = \(\begin{vmatrix} 5 & 3 \ 2 & 1 \end{vmatrix}\) and Q = \(\begin{vmatrix} 4 & 2 \ 3 & 5 \end{vmatrix}\), find 2P + Q
A
\(\begin{vmatrix} 7 & 7 \ 14 & 8 \end{vmatrix}\)
B
\(\begin{vmatrix} 14 & 8 \ 7 & 7 \end{vmatrix}\)
C
\(\begin{vmatrix} 7 & 7 \ 8 & 14 \end{vmatrix}\)
D
\(\begin{vmatrix} 8 & 14 \ 7 & 7 \end{vmatrix}\)
correct option: b
2P + Q = 2\(\begin{pmatrix} 5 & 3 \ 2 & 1 \end{pmatrix}\) + \(\begin{pmatrix} 4 & 2 \ 3 & 5 \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 6 \ 4 & 2 \end{pmatrix}\) + \(\begin{pmatrix} 4 & 2 \ 3 & 5 \end{pmatrix}\)
= \(\begin{pmatrix} 14 & 8 \ 7 & 7 \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 6 \ 4 & 2 \end{pmatrix}\) + \(\begin{pmatrix} 4 & 2 \ 3 & 5 \end{pmatrix}\)
= \(\begin{pmatrix} 14 & 8 \ 7 & 7 \end{pmatrix}\)
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