Question

If a=( 0 0 -1)
0 -1 0
-1 0 0
then about matrix A is
​

Answer 1

Answer:

Correct option is

A

aii=0∀i

B

A+AT is a null matrix

C

∣A∣=0

D

A is not invertible.

Let A=⎣⎢⎢⎡a−α−βαb−γβγc⎦⎥⎥⎤⇒−A=⎣⎢⎢⎡−aαβ−α−bγ−β−γ−c⎦⎥⎥⎤

AT=⎣⎢⎢⎡aαβ−αbγ−β−γc⎦⎥⎥⎤