Mathematics
JAMB 2001
If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\), then -2P is
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A.
\(\begin{pmatrix}-6 & -4 & 2\\-10 & -2 & -12\\-14 & -10 & -2\end{pmatrix}\)
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B.
\(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)
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C.
\(\begin{pmatrix}-6 & 4 & -8\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
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D.
\(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & 6\\-14 & 5 & -1\end{pmatrix}\)
Correct Answer: Option B
Explanation
If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
Then -2P = -2 x \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
= \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)
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