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Home  >>  CBSE XII  >>  Math  >>  Matrices
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If A is a skew symmetric matrix, then $A^2$ is a ____________ .

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  • A square matrix A=[a$_{ij}$] is said to be skew symmetric if A'=-A that is $[a_{ij}]= -[a_{ji}]$ for all possible value of i and j.
If A is a skew symmetric matrix then $A^2$ symmetric matrix.
 
A'= (-A)
 
Replace -A by $A^2$
 
A'=($A^2$)=A

 

answered Mar 15, 2013 by sharmaaparna1
 
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