if a matric has 10 elements , write all possible order of the matrix.

Explanation

To find all possible orders of a matrix that has 10 elements, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Matrix Order**:
A matrix of order \( n \times m \) has a total of \( n \times m \) elements, where \( n \) is the number of rows and \( m \) is the number of columns.

2. **Given Condition**:
We know that the matrix has 10 elements, so we need to find pairs of \( (n, m) \) such that \( n \times m = 10 \).

3. **Finding Factors of 10**:
We will list all pairs of factors of 10:
- The factors of 10 are: 1, 2, 5, and 10.

4. **Forming Pairs**:
We can form the following pairs \( (n, m) \):
- \( (1, 10) \) → 1 row and 10 columns
- \( (2, 5) \) → 2 rows and 5 columns
- \( (5, 2) \) → 5 rows and 2 columns
- \( (10, 1) \) → 10 rows and 1 column

5. **Listing All Possible Orders**:
Therefore, the possible orders of the matrix with 10 elements are:
- \( 1 \times 10 \)
- \( 2 \times 5 \)
- \( 5 \times 2 \)
- \( 10 \times 1 \)

### Final Answer:
The total possible orders of the matrix are:
1. \( 1 \times 10 \)
2. \( 2 \times 5 \)
3. \( 5 \times 2 \)
4. \( 10 \times 1 \)