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Home  >>  CBSE XII  >>  Math  >>  Matrices
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True or False: If each of the three matrices of the same order are symmetric matrix.

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TRUE
Given A=$A'\; B=B'\; C=C'$.
 
From the property of transpose of a matrix we have
 
$(A+B+C)'=A'+B'+C'$.
 
$A'+B'+C'$ is symmetric matrix.

 

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