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If A and B are two matrices, such that a./b=b.\a, what is concluded?

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If A and B are two matrices, such that a./b=b.\a, what is concluded?

(a) Nothing special

(b) A = A^T

(c) A = A^-1

(d) A = A

The question was posed to me by my college professor while I was bunking the class.

I would like to ask this question from Vectors and Matrices topic in portion MATLAB Basics of MATLAB

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The correct choice is (a) Nothing special

The best I can explain: a./b is same as b.\a. In the former, we are performing left division so b is divided by a. In the latter, we are performing right division so b is again divided by a. Thus, it is obligatory that a./b=b.\a. Hence, nothing special can be said about the two matrices A and B.

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