Q69 of 146 Page 52

Fill in the blanks in each of the

Sum of two skew symmetric matrices is always _______ matrix.

A skew symmetric matrix

∴ Let A and B are two skew symmetric matrices.


⇒ A’=-A ..(1)


⇒ B’=-B ..(2)


Now Let A+B=C ..(3)


⇒ C’=(A+B)’=A’+B’


⇒ A’+B’=(-A)+(-B)


⇒ (-A)+(-B)=-(A+B)=-C


⇒ C’=-C (Skew Symmetric matrix)


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