Find the transpose of the matrix ( A = begin{bmatrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 end{bmatrix} ).

Question

Find the transpose of the matrix ( A = begin{bmatrix} 1 & 2 & 3  4 & 5 & 6  7 & 8 & 9 end{bmatrix} ).

Accepted Answer

Step:1 ：The transpose of a matrix is obtained by interchanging its rows into columns or columns into rows. So, the transpose of matrix ( A ), denoted by ( A^T ), is obtained as follows:Step:2 ：( A^T = begin{bmatrix} 1 & 4 & 7  2 & 5 & 8  3 & 6 & 9 end{bmatrix} ).

Answer

Step: 1 ：The transpose of a matrix is obtained by interchanging its rows into columns or columns into rows. So, the transpose of matrix ( A ), denoted by ( A^T ), is obtained as follows:Step: 2 ：( A^T = begin{bmatrix} 1 & 4 & 7  2 & 5 & 8  3 & 6 & 9 end{bmatrix} ).

Find the transpose of the matrix \( A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \).

Answer

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