If the matrix is a square matrix and it contains 36 elements then the order of the matrix is

Options

A. `4xx4`
B. `8xx8`
C. `6xx6`
D. `3xx3`

Answer

To find the order of a square matrix that contains 36 elements, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Order of a Square Matrix**:
A square matrix has the same number of rows and columns. If we denote the order of the matrix as \( x \times x \), then the total number of elements in the matrix can be expressed as \( x^2 \).

2. **Setting Up the Equation**:
Since we know that the matrix contains 36 elements, we can set up the equation:
\[ x^2 = 36 \]

3. **Solving for \( x \)**:
To find \( x \), we take the square root of both sides:
\[ x = \sqrt{36} \]
This gives us:
\[ x = 6 \quad \text{(since the order cannot be negative)} \]

4. **Determining the Order of the Matrix**:
Since \( x = 6 \), the order of the matrix is:
\[ 6 \times 6 \]

### Conclusion:
Thus, the order of the matrix is \( 6 \times 6 \).