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Home/Practice questions/Maths. Section B1
Maths. Section B1Matrices

If A,B are symmetric matrices of same order, the AB-BA is a

If \(A,B\) are symmetric matrices of same order, the \(AB-BA\) is a

Answer & explanation+

Correct answer: option 1

\(\left(AB-BA\right)^{\prime}=\left(AB\right)^{\prime}-\left(BA\right)^{\prime}=B^{\prime}A^{\prime}-A^{\prime}B^{\prime}=BA-AB=-\left(AB-BA\right)\)

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