Fsc Part 1 Mathematics (Complete Solution)

Q3
If A is any square matrix of order 3 , show that

Q3. If A is any square matrix of order 3 , show that

(i) A+At is symmetric

SOLUTION:

(A+At)t =At+(At)t

=At+A

=A+At

=> A+At is symmetric.



(ii) A-At is skew symmetric

SOLUTION:

(A-At)t=At-(At)t

=At-A

=-(A-At)

=> A-At is skew symmetric

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