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In: Advanced Math

Include an example of an appropriate matrix as you justify your responses to the following questions....

Include an example of an appropriate matrix as you justify your responses to the following questions.

  1. Suppose a linear system having six equations and three unknowns is consistent. Can you guarantee that the solution is unique? Can you guarantee that there are infinitely solutions?

  2. Suppose that a linear system having three equations and six unknowns is consistent. Can you guarantee that the solution is unique? Can you guarantee that there are infinitely solutions?

  3. Suppose that a linear system is consistent and has a unique solution. What can you guarantee about the pivot positions in the augmented matrix?

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