Question

If a is symmetrical matrix as well as skew symmetric mayrix then a

Answer 1

Answer :- null matrix

Before, we go on to the solution, Let's discuss what is symmetric and skew symmetric matrix.

SKEW SYMMETRIC MATRIX .

A matrix which is equal to its transpose.

=> A = A' .........(i)

SKEW- SYMMETRIC MATRIX

A matrix which satisfies the relation A = - A' ......(ii)

Now, since, A is both symmetric and skew symmetric.

Hence, from (i) and (ii)

A' = - A'

=> A = - A

=>2A = 0

=> A = 0.

Hence, A is a null matrix.