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If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 &...

Mathematics
JAMB 2001

If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\), then -2P is 

  • A. \(\begin{pmatrix}-6 & -4 & 2\\-10 & -2 & -12\\-14 & -10 & -2\end{pmatrix}\)
  • B. \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)
  • C. \(\begin{pmatrix}-6 & 4 & -8\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
  • D. \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & 6\\-14 & 5 & -1\end{pmatrix}\)
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Correct Answer: Option B
Explanation

If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)

Then -2P = -2 x  \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)

=  \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)

There is an explanation video available below.


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Explanation Video

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