Q68 of 146 Page 52

Fill in the blanks in each of the

______ matrix is both symmetric and skew symmetric matrix.

A Zero matrix

∴ Let A be the symmetric and skew symmetric matrix.


⇒ A’=A (Symmetric)


⇒ A’=-A (Skew-Symmetric)


Considering the above two equations,


⇒ A=-A


⇒ 2A=0


⇒ A=0 (A Zero Matrix)


Hence Zero matrix is both symmetric and skew symmetric matrix.


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