If the matrix $\begin{bmatrix} 0& a & 3\\2 & b & -1\\ c & 1 & 0 \end{bmatrix}$ is a skew symmetric, then the value of $2a + b - c $ is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → -1
The matrix is skew symmetric.
$⇒A^T=-A$
$∴\begin{bmatrix}0&2&c\\a&b&1\\3&-1&0\end{bmatrix}=\begin{bmatrix}0&-a&-3\\-2&-b&+1\\-c&-1&0\end{bmatrix}$
$∴a=-2$
$b=0$
$c=-3$
$∴2a+b-c=-4+3=-1$