If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\), then -2P is
- \(\begin{pmatrix}-6 & -4 & 2\\-10 & -2 & -12\\-14 & -10 & -2\end{pmatrix}\)
-
\(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)
- \(\begin{pmatrix}-6 & 4 & -8\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
- \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & 6\\-14 & 5 & -1\end{pmatrix}\)
The correct answer is: 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 .