Math  /  Algebra

QuestionAn augmented matrix is given. Determine the number of solutions to the corresponding system of equations [100301020010]\left[\begin{array}{ccc|c} 1 & 0 & 0 & -3 \\ 0 & 1 & 0 & 2 \\ 0 & 0 & 1 & 0 \end{array}\right] The system has one solution. The system has no solution. The system has infinitely many solutions.

Studdy Solution
Determine the number of solutions. Since the system is consistent and each variable has a unique value assigned to it (i.e., there are no free variables), the system has exactly one solution.
The system has one solution\boxed{\text{one solution}}.

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