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 : |
-1 -5 0 1 |
-1 |
The correct answer is Option (1) → -1 The matrix is skew symmetric. $⇒A^T=-A$ $∴\begin{bmatrix}0&2&c\\a&b&1\\3&-1&0\end{bmatrix}=\begin{bmatrix}0&-a&-3\\-2&-b&+1\\-c&-1&0\end{bmatrix}$ $∴a=-2$ $b=0$ $c=-3$ $∴2a+b-c=-4+3=-1$ |