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

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Advance Math

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

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

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

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

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