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Define transpose of matrix?

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2 JRF (AIR-56) Holder with 3 years experience of Tutoring, and mentoring college Graduates.

Replace Aij with Aji... Where Aij is the element of A matrix corresponding to i'th row and j'th column.
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Convert row into Column. e.g.:
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Maths Tutor for the last 15 years - an IIT Engineer with 22 years' experience in the IT Industry

Interchange rows and columns. So 1st row now becomes 1st column and so on.
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Replace Aij with Aji. Where Aij is the element of matrix corresponding to i th row and j th column. Or interchange rows with column and vice versa.
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