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  • Fill in the blanks in each of the Sum of two skew symmetric matrices is always _______ matrix.

Fill in the blanks in each of the

Sum of two skew symmetric matrices is always _______ matrix.

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A skew symmetric matrix

∴ Let A and B are two skew symmetric matrices.

\\ \Rightarrow A'=-A ..(1) \\ \Rightarrow B'=-B ..(2)

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

\\ \Rightarrow C'=(A+B)'=A'+B' \\ \Rightarrow A'+B'=(-A)+(-B) \\ \Rightarrow (-A)+(-B)=-(A+B)=-C \\ \Rightarrow C'=-C (Skew Symmetric matrix)

 

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