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 Answer: Option B
Explanation
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 & 6end{vmatrix})
M(^T) + 2M = (begin{vmatrix} -6 & 0 & 13 \ 0 & -3 & 18 \ 14 & 18 & 9 end{vmatrix})
There is an explanation video available below.