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if A and B are symmetric …

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if A and B are symmetric matrices ,prove that AB-BA is an skew symmetric matrices
  • 2 answers

Aditya Chandel 3 years, 7 months ago

Let X=AB-BA Given A'=A and B'=B(as A and B are symmetric matrices) X'=(AB-BA)'=(AB)'-(BA)'=B'A'-A'B'=BA-AB=-(AB-BA)=-X Since X'=-X Therefore,X=AB-BA is a skew symmetric matrix if A and B are symmetric matrices

Educationjone Rk Yadav 3 years, 7 months ago

No
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