For a homogeneous system of linear equations, which condition guarantees a nonzero solution for the unknowns?
Correct answer: B. The coefficient determinant is zero
- A. The coefficient determinant is positive
- B. The coefficient determinant is zero
- C. The constant term is positive
- D. The coefficient determinant is one
Explanation
A homogeneous system always has the zero solution. A nonzero solution exists when the coefficient matrix is singular, so its determinant must be zero.
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