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Home  >>  CBSE XII  >>  Math  >>  Matrices
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True or False: AA' is always a symmetric matrix for any matrix A.

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TRUE
Symmetric matrix--> A'=A
$(AA')'= (A')'A' =AA'$
(From the property we have $(AB)'=B'A' \;and\; (A')'=A)$
Hence $AA'$= Symmetric matrix .
 

 

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

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