Matrix Transpose Calculation
The image is asking to find the transpose of a given matrix \( A \). The transpose of a matrix is obtained by swapping its rows with columns. For the given matrix
\[ A = \begin{pmatrix} 5 & 2 & -1 \\ 1 & 3 & 4 \end{pmatrix} \]
The transpose, denoted by \( A^T \), would be
\[ A^T = \begin{pmatrix} 5 & 1 \\ 2 & 3 \\ -1 & 4 \end{pmatrix} \]
So, the elements of the first row of \( A \) become the elements of the first column of \( A^T \), the elements of the second row of \( A \) become the elements of the second column of \( A^T \), and so forth.
