Which of the statement is correct :

Options

A. Determinant is number associated to a matrix
B. Determinant is a square matrix.
C. Determinant is a number associated to a square matrix
D. None of the above

Answer

To determine which statement about determinants is correct, we need to analyze the given options and understand the definition of a determinant.

### Step-by-Step Solution:

1. **Understanding the Definition of a Determinant**:
- A determinant is a scalar value that can be computed from a square matrix. A square matrix is defined as a matrix that has the same number of rows and columns.

2. **Evaluating the Options**:
- **Option 1**: "Determinant is a number associated to a matrix."
- This statement is partially correct. While a determinant is indeed a number, it is specifically associated with square matrices.
- **Option 2**: "Determinant is a square matrix."
- This statement is incorrect. A determinant is not a matrix; it is a scalar value derived from a square matrix.
- **Option 3**: "Determinant is a number associated to a square matrix."
- This statement is correct. A determinant is specifically a scalar value that can be calculated from a square matrix.

3. **Conclusion**:
- Based on the definitions and evaluations, the correct statement is **Option 3**: "Determinant is a number associated to a square matrix."