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# True or False: If each of the three matrices of the same order are symmetric matrix.

## 1 Answer

 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
edited Mar 17, 2013

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