If A= bmatrix 0&c&-b -c&0&a &-a&0 bmatrix and B= bmatrix a^2&ab&ac &b^2&bc &cb&c^2 bmatrix then AB is equal to

JEE Advanced Mathematics question

If and B=\begin{bmatrix}a^2&ab&ac\\ba&b^2&bc\\ca&cb&c^2\end{bmatrix} then is equal to

Answer: (A)

Note with , so . Now

Av=\begin{bmatrix}0\cdot a+cb-bc\\-ca+0+ac\\ba-ab+0\end{bmatrix}={bmat

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Question ID VK-108378