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
\(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & 6\\-14 & 5 & -1\end{pmatrix}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
If P = \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
Then -2P = -2 x \(\begin{pmatrix}3 & -2 & 4\\5 & 0 & 6\\7 & 5 & -1\end{pmatrix}\)
= \(\begin{pmatrix}-6 & 4 & -8\\-10 & 0 & -12\\-14 & -10 & 2\end{pmatrix}\)
Source: Myschool Past Questions Archive (Record #70085)