Which matrix operation corresponds to the geometric transformation of 'flipping' a matrix over its main diagonal?
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Transpose
The transpose flips an $m \times n$ matrix into an $n \times m$ matrix. It satisfies the property $(AB)^T = B^T A^T$.
Also asked as:
- Which operation converts an $m \times n$ matrix into an $n \times m$ matrix by reflecting elements across the main diagonal?