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If A and B are two odd order Skew — symmetric matrices such that AB = BA, then what is the matrix AB? 
  • a)
    An orthogonal matrix
  • b)
    A Skew — symmetric matrix
  • c)
    A symmetric matrix
  • d)
    An identity matrix
Correct answer is option 'C'. Can you explain this answer?
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If A and B are two odd order Skew — symmetric matrices such that...
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Community Answer
If A and B are two odd order Skew — symmetric matrices such that...
A=-A^T (transpose of A)
B=-B^T

AB= (-A^T)(-B^T)
AB =A^T B^T
AB=(BA)^T
AB=(AB)^T [AB=BA is given]
therefore AB is a symmetric matrix
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If A and B are two odd order Skew — symmetric matrices such that AB = BA, then what is the matrix AB?a)An orthogonal matrixb)A Skew — symmetric matrixc)A symmetric matrixd)An identity matrixCorrect answer is option 'C'. Can you explain this answer?
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