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If A and B are symmetric matrices, then ABA is
  • a)
     Symmetric matrix
  • b)
    Skew–symmetric
  • c)
     A diagonal matrix
  • d)
     Scalar matrix
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If A and B are symmetric matrices, then ABA isa)Symmetric matrixb)Skew...
A’ = A & B’ = B


(ABA)’ = A’ (AB)’


= A’B’A’


= ABA


Symmetric Matrix


Option (A) is the answer.
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If A and B are symmetric matrices, then ABA isa)Symmetric matrixb)Skew–symmetricc)Adiagonal matrixd)Scalar matrixCorrect answer is option 'A'. Can you explain this answer?
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