Given matrix M begin vmatrix -2 amp 0 amp 4 0 a... - JAMB Mathematics 2019 Question
Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \ 0 & -1 & 6 \ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)
A
\(\begin{vmatrix} -4 & 2 & 1\ 6 & 0 & 5 \ 0 & 6 & 2 \end{vmatrix}\)
B
\(\begin{vmatrix} -6 & 0 & 13\ 0 & -3 & 18 \ 14 & 18 & 9 \end{vmatrix}\)
C
\(\begin{vmatrix} 5 & 2 & 6 \ 0 & 1 & 1\ 3 & 4 & -7 \end{vmatrix}\)
D
\(\begin{vmatrix} -4 & 0 & 8 \ 0 & -2 & -16 \ 10 & 12 & 6 \end{vmatrix}\)
correct option: b
Let M represent the matrix.
M = \(\begin{vmatrix} -2 & 0 & 4 \ 0 & -1 & 6 \ 5 & 6 & 3 \end{vmatrix}\)
M\(^{T}\) = \(\begin{vmatrix} -2 & 0 & 5 \ 0 & -1 & 6\ 4 & 6 & 3 \end{vmatrix}\)
2M = \(\begin{vmatrix} -4 & 0 & 8\ 0 & -2 & 12\ 10 & 12 & 6\end{vmatrix}\)
M\(^T\) + 2M = \(\begin{vmatrix} -6 & 0 & 13 \ 0 & -3 & 18 \ 14 & 18 & 9 \end{vmatrix}\)
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