If the matrix \( A=\begin{bmatrix}a & 3 & b\\c & 0 & -1\\-2 & 1 & 0\end{bmatrix} \) is skew-symmetric, then \( 4a+3b+2c \) is equal to
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 0
In a skew-symmetric matrix, every diagonal entry is 0 and \( a_{ji}=-a_{ij} \).
Diagonal: a = 0.
(1, 3) and (3, 1): b = −(−2) = 2.
(2, 1) and (1, 2): c = −3.
\( 4a+3b+2c=0+6-6=0 \)