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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Definitions:

Cerebral Peduncles

Structures at the base of the brain, containing fibers that connect the cerebrum with other parts of the brain and the spinal cord.

Red Nucleus

A structure in the midbrain involved in motor coordination and bodily movement.

Red Nuclei

Midbrain structures involved in motor coordination, notably part of the pathway for voluntary movements.

Auditory Pathways

The neural pathways that carry auditory information from the ears to the brain for processing and interpretation.