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The determinant of the matrix \( A \) using row reduction is approximately \( \text{det}(A) = -352 \).

Would you like more details on the steps of the row reduction method or have any further questions?

Here are some related questions:
1. What are the rules for performing row operations when finding a determinant?
2. How can row reduction simplify solving systems of linear equations?
3. What does the sign of the determinant tell us about a matrix?
4. How do we compute determinants for larger matrices (e.g., 5x5)?
5. Can a matrix with a zero determinant be invertible?

**Tip:** Always check if your matrix is singular (determinant is zero) before trying to invert it!

Learn how to find the determinant of a 4x4 matrix using row reduction. This problem involves applying linear algebra concepts, specifically row operations, to simplify the matrix and compute its determinant. Suitable for college-level students studying linear algebra.

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