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If A and B are symm. …

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If A and B are symm. matrix then prove that BA-2AB is neither a symm. matrix nor skew symm. matrix . Please tell
  • 1 answers

Nishu Sahu 6 years, 5 months ago

A'=A and B'=B (BA-2AB)'= (BA)'-2(AB)'= A'B'-2B'A'= AB-2BA For symm, - (BA-2AB)'= BA-2AB and for skew it is= 2AB-BA But ans not match. So, it is neither symm nor skew symm.
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