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Fill in the blanks in each of the
______ matrix is both symmetric and skew symmetric matrix.
______ matrix is both symmetric and skew symmetric matrix.
Answers (1)
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.
View full answer
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