If $A=\begin{bmatrix}a&4&-5\\d&b&-6\\5&e&c\end{bmatrix}$ is a skew symmetric matrix, then value of $a + b + c + d + e$ is equal to
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 2
$A=\begin{bmatrix} a & 4 & -5 \\ d & b & -6 \\ 5 & e & c \end{bmatrix}$ is skew symmetric
For skew symmetric matrix,
$A^T=-A$
So diagonal entries are zero,
$a=0,b=0,c=0$
Also,
$d=-4$
$e=6$
Now,
$a+b+c+d+e=0+0+0-4+6$
$=2$