If A is a square matrix such that `|A|=2`, then `|A'|`, where A' is transpose of A, is equal to

Options

A. 0
B. `-2`
C. `1//2`
D. `2`

Answer

To solve the problem, we need to find the determinant of the transpose of a square matrix \( A \) given that the determinant of \( A \) is \( |A| = 2 \).

### Step-by-Step Solution:

1. **Understand the properties of determinants**:
The determinant of a square matrix and its transpose are equal. This is a fundamental property of determinants.

2. **Apply the property**:
Since we know that \( |A| = 2 \), we can use the property mentioned above:
\[ |A'| = |A| \]

3. **Substitute the known value**:
Given that \( |A| = 2 \), we can substitute this value into the equation:
\[ |A'| = |A| = 2 \]

4. **Conclusion**:
Therefore, the determinant of the transpose of matrix \( A \) is:
\[ |A'| = 2 \]

### Final Answer:
\[ |A'| = 2 \]