Write the augmented matrix of the system and use it to solve the system using row reduction, clearly showing your work.  Answers using your calculator will not be accepted for this question - I want to see you can do it by hand.  If the system has an infinite number of solutions, express them in terms of the parameter z.  ⎧⎪⎨⎪⎩x−3y+2z=−3−x+4y−5z=12−2x+7y−5z=9

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
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Write the augmented matrix of the system and use it to solve the system using row reduction, clearly showing your work.  Answers using your calculator will not be accepted for this question - I want to see you can do it by hand.  If the system has an infinite number of solutions, express them in terms of the parameter z.

 ⎧⎪⎨⎪⎩x−3y+2z=−3−x+4y−5z=12−2x+7y−5z=9

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