Question on: JAMB Mathematics - 2019

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

\(\begin{vmatrix} -4 & 0 & 8 \ 0 & -2 & -16 \ 10 & 12 & 6 \end{vmatrix}\)

Ask EduPadi AI for a detailed answer
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 = \(\begin{vmatrix} -6 & 0 & 13 \ 0 & -3 & 18 \ 14 & 18 & 9 \end{vmatrix}\)

Add your answer

Notice: Please post responsibly.

Please share this, thanks!

No responses