If the matrix A = $\left[\begin{array}{ccc}a & 5 & b \\ -5 & 0 & 4 \\ 7 & c & 0\end{array}\right]$ is skew-symmetric, then the value of a, b and c are:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → a = 0, b = -7, c = -4
$A = \begin{bmatrix} a & 5 & b \\ -5 & 0 & 4 \\ 7 & c & 0 \end{bmatrix}$
$\text{Skew-symmetric} \Rightarrow A^T = -A$
$a = 0$
$b = -7$
$c = -4$
$a = 0,\ b = -7,\ c = -4$