Suppose That You Are Solving a System of Three Linear $$\left[ \begin{array} { r r r | r } 1 & 5 & - 6 & - 9 \\0 & 1 & 2 & - 12 \\0 & 0 & 0 & 6\end{array} \right]$$

question 79

Multiple Choice

Suppose that you are solving a system of three linear equations by the Gauss-Jordan method and obtain the following augmented matrix. $$\left[ \begin{array} { r r r | r } 1 & 5 & - 6 & - 9 \\0 & 1 & 2 & - 12 \\0 & 0 & 0 & 6\end{array} \right]$$ What conclusion can you draw about the solutions of the system?

• A) The system has infinitely many solutions.
• B) The system has exactly one solution.
• C) The system has no solutions.
• D) There is not enough information to draw any conclusion about the solutions of the system.

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