Given the following matrix, [A = begin{bmatrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 end{bmatrix}], find the transpose of matrix A.

Question

Given the following matrix, [A = begin{bmatrix} 1 & 2 & 3  4 & 5 & 6  7 & 8 & 9 end{bmatrix}], find the transpose of matrix A.

Accepted Answer

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

Given the following matrix, \[A = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}\], find the transpose of matrix A.

Answer

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