\[
\textbf{Exercise: Transpose of a Matrix}
\]
\[
\textbf{Q1: Find the Transpose of Matrix A, where:}
\]
\[
A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
A^T = \text{Transpose of } A = \begin{pmatrix} 1 & 4 \\ 2 & 5 \\ 3 & 6 \end{pmatrix}
\]
\[
\textbf{Q2: Find the Transpose of Matrix B, where:}
\]
\[
B = \begin{pmatrix} 7 & 8 \\ 9 & 10 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
B^T = \text{Transpose of } B = \begin{pmatrix} 7 & 9 \\ 8 & 10 \end{pmatrix}
\]
\[
\textbf{Q3: Find the Transpose of Matrix C, where:}
\]
\[
C = \begin{pmatrix} 3 & 6 & 9 \\ 2 & 5 & 8 \\ 1 & 4 & 7 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
C^T = \text{Transpose of } C = \begin{pmatrix} 3 & 2 & 1 \\ 6 & 5 & 4 \\ 9 & 8 & 7 \end{pmatrix}
\]
\[
\textbf{Q4: Find the Transpose of Matrix D, where:}
\]
\[
D = \begin{pmatrix} 0 & -1 \\ 2 & 3 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
D^T = \text{Transpose of } D = \begin{pmatrix} 0 & 2 \\ -1 & 3 \end{pmatrix}
\]
\[
\textbf{Q5: Find the Transpose of Matrix E, where:}
\]
\[
E = \begin{pmatrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
E^T = \text{Transpose of } E = \begin{pmatrix} 1 & 3 & 5 \\ 2 & 4 & 6 \end{pmatrix}
\]
\[
\textbf{Q6: Find the Transpose of Matrix F, where:}
\]
\[
F = \begin{pmatrix} 7 & 8 & 9 & 10 \\ 11 & 12 & 13 & 14 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
F^T = \text{Transpose of } F = \begin{pmatrix} 7 & 11 \\ 8 & 12 \\ 9 & 13 \\ 10 & 14 \end{pmatrix}
\]
\[
\textbf{Q7: Find the Transpose of Matrix G, where:}
\]
\[
G = \begin{pmatrix} -1 & 3 \\ 5 & -2 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
G^T = \text{Transpose of } G = \begin{pmatrix} -1 & 5 \\ 3 & -2 \end{pmatrix}
\]
