24.2 Transpose Matrix

Let \(A= \begin {pmatrix} a & b & c\\ d & e & f\\ g & h & i\\ \end {pmatrix} \).

Then a transpose of a matrix written as \(A^T\) meaning you inter-change rows become columns and columns become rows. \[ \therefore \quad A^T= \begin {pmatrix} a & d & g\\ b & e & h\\ c & f & i\\ \end {pmatrix} \]

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