Transposing Matrices
Transposing Matrices
- \(\mathbf{A^T}\) is the transpose of a matrix \(\mathbf{A}\) where the rows and columns are interchanged.
- e.g. \(\begin{pmatrix}1 & 2 & 3 \\ 4 & 5 & 6\end{pmatrix}^T=\begin{pmatrix}1 & 4 \\ 2 & 5 \\ 3 & 6\end{pmatrix}\)
- e.g. \(\begin{pmatrix}1 & 0 & -2 \\ 3 & 1 & -2 \\ 2 & -1 & 0\end{pmatrix}^T=\begin{pmatrix}1 & 3 & 2 \\ 0 & 1 & -1 \\ -2 & -2 & 0\end{pmatrix}\)