Q. 144.8( 23 Votes )

If the matrix A i A. A is a diagonal matrix

B. A is a zero matrix

C. A is a square matrix

D. None of these

Answer :

Given A is both symmetric and skew symmetric matrix then, A = A’ and also A = -A’

A’ = -A’


2A’ = 0


A’ = O


Clearly it is observed that transpose of A is a null matrix or zero matrix then matrix A must also be a zero matrix.


Hence A is a zero matrix.

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