Q. 49

# If A is a square matrix then (A + A^{’}) is

A. A null matrix

B. An identity matrix

C. A symmetric matrix

D. A skew-symmetric matrix

Answer :

Let X = A+A’

X’ = (A+A’)’

= A’ + (A’)’

=A + A’

= X

Therefore (A+A’) is symmetric matrix.

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