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If a./b=(b./a)^T, what can be concluded about the matrices a and b?

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If a./b=(b./a)^T, what can be concluded about the matrices a and b?

(a) a = b^T

(b) a = b^-1

(c) a = b’

(d) nothing special

I have been asked this question in quiz.

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

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The correct option is (a) a = b^T

For explanation: ‘a./b’ means that elements of a are divided b while ‘b./a’ means that the elements of b are divided by a. If the result of the latter is the transpose of the former, it suggests that a=b^T. This is because element-wise division is performed by the operator ‘./’. So the resultant matrix is a direct symbolisation of the nature of occurrence of elements in either matrix. Hence option a=b^T is correct.

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