If the coefficient determinant of two simultaneous linear equations is nonzero, what does this imply?
Correct answer: B. The equations have exactly one solution
- A. The equations have no solution
- B. The equations have exactly one solution
- C. The equations have infinitely many solutions
- D. The equations are necessarily identical
Explanation
A nonzero coefficient determinant means the coefficient matrix is nonsingular. Hence, the two equations intersect at exactly one point and have a unique solution.
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