Provide an appropriate response.
-Suppose that you attempt to solve a system of equations and find that D = 0. What can you conclude about the solutions of this system?
A) The system has exactly one solution.
B) The system has an infinite number of solutions.
C) The system has no solution.
D) The system has either no solution or an infinite number of solutions.

Question

Quizplus · Accepted Answer

When D, the determinant of the coefficient matrix in a system of linear equations, is equal to 0, it indicates that the system is either inconsistent (having no solution) or dependent (having an infinite number of solutions). This is because a zero determinant means the equations are linearly dependent, not allowing for a unique solution.

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