If the order of matrix A is m`xx`n, then the order of the transpose of matrix A is :

Options

A. `mxxn`
B. `nxxn`
C. `nxxm`
D. `mxxm`

Explanation

To find the order of the transpose of matrix A, we follow these steps:

### Step-by-step Solution:

1. **Identify the Order of Matrix A**:
- Given that the order of matrix A is \( m \times n \), where \( m \) is the number of rows and \( n \) is the number of columns.

2. **Understanding Transpose of a Matrix**:
- The transpose of a matrix is obtained by swapping its rows and columns. This means that the first row of the original matrix becomes the first column of the transposed matrix, the second row becomes the second column, and so on.

3. **Determine the Order of the Transpose**:
- Since the original matrix A has \( m \) rows and \( n \) columns, after transposing, the new matrix will have \( n \) rows and \( m \) columns.

4. **Conclusion**:
- Therefore, the order of the transpose of matrix A is \( n \times m \).

### Final Answer:
The order of the transpose of matrix A is \( n \times m \).

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