Fewpal
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Fill in the blanks:

______ matrix is both symmetric and skew symmetric matrix.

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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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