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Compute the following determinant by cofactor expansion

The determinant of the given matrix is \(-143\).

Would you like a detailed breakdown of how the cofactor expansion was applied? 

Here are 5 related questions:
1. How does cofactor expansion work in a 4x4 matrix?
2. Can you compute the determinant of a matrix using other methods, such as row reduction?
3. What does a negative determinant signify about the matrix?
4. How would the determinant change if you swap two rows in the matrix?
5. Can determinants help in solving systems of linear equations?

**Tip:** The determinant can be used to check if a matrix is invertible. If the determinant is zero, the matrix is singular and non-invertible.

Learn how to compute the determinant of a 4x4 matrix using cofactor expansion. This example covers key concepts from linear algebra, such as determinants and properties of matrices. Understand the step-by-step application of the cofactor expansion theorem and explore related questions about matrix operations.

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