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Home  >>  CBSE XII  >>  Math  >>  Matrices
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True or False: If A is skew symmetric matrix, then $A^2$ is a symmetric matrix.

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TRUE
A square matrix A is said to be skew symmetric if $A'=-A$ and symmetric matrix $A'=A $
Consider $A'=-A$
By taking square on both side we get
$(A')^2=(-A)^2 $
$(A')^2= A^2$  
$A^2$ is symmetric matrix

 

answered Mar 12, 2013 by sreemathi.v
edited Mar 17, 2013 by sharmaaparna1
 

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