MAT1360 Classwork - Seattle Pacific University
MAT 2401 Homework 1.2 Part II Name:________________________________
1. (10 points) Solve [pic] by Gauss-Jordan Elimination.
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2. Suppose[pic] is the augmented matrix of a system of linear equations.
(a) (6 points) Use row operations to rewrite [pic] into the following form: [pic].
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(b) (4 points) Find the value(s) of [pic] such that the system is consistent.
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3. [pic]
(a) (1 points) Write down the augmented matrix [pic] of the system of linear equations above.
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(b) (5 points) Use row operations to rewrite [pic] into the following form: [pic].
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(c) (4 points) Find the value(s) of [pic] such that the system will have non-trivial solutions.
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(d) (5 points) For the smallest value of in (c), find the solution of the linear system.
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Additional HW
Most students need to practice doing Gauss Jordan Elimination. Pick some homework problems from the textbook and do as many as needed to familiar with the technique. We are going to the technique throughout this course.
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[pic]
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