Which of the following statements is true for the transpose of a matrix?

1. The number of rows is same as that of the given matrix.

2. The number of columns is same as that of the given matrix.

3. The order is same as that of the given matrix.

4. The number of elements is same as that of the given matrix.

If A = m × n then A^T = n × m

The total number of elements is calculated by multiplying the dimensions: m × n. Since m × n = n × m

Therefore, total number of elements in A is exactly the same as the total number of elements in A^T

Hence, option 4 is the correct option.