Category:Transposes of Matrices

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This category contains results about Transposes of Matrices.


Let $\mathbf A = \left[{\alpha}\right]_{m n}$ be an $m \times n$ matrix over a set.


Then the transpose of $\mathbf A$ is denoted $\mathbf A^\intercal$ and is defined as:

$\mathbf A^\intercal = \left[{\beta}\right]_{n m}: \forall i \in \left[{1 \,.\,.\, n}\right], j \in \left[{1 \,.\,.\, m}\right]: \beta_{i j} = \alpha_{j i}$