let x&y be two arbitrary,3×3,non -zero skew- symmetric matrices and z be an arbitrary 3×3,non- zero symmetric matrix then which of the following matrices are skew symmetric A.y3Z4-z4y3. B.x44+y44. C.x4z3-z3x4. D.x23+ y23
Dear Candidate,
This question has multiple answers, mainly C & D.
You can use the properties of transpose to solve it.
You will notice that both the first & second option turn out to be symmetric in nature after you apply the properties of transpose to them.
Whereas similarly you solve third & fourth option, they turn out to be skew symmetric in nature.
Hope you understand the same. Expand the options using the property of transpose & you will get the answer.
Hope it helped. Thanks.