NE112-quiz1-fall08

NE112-quiz1-fall08 - x 1 + x 2 + 2x 3 = 9 2x 1 + 4x 2- 3x 3...

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NE112 – Linear Algebra Quiz # 1 Student Name: Student Number: Instructions The quiz is closed notes closed books. Write your name and student number on the front page and your student name on the back of the last page. You may use a non- programmable calculator. Problem 1. Solve the following system of equations using Gaussian elimination and Gauss-Jordan elimination. Show your work.
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Unformatted text preview: x 1 + x 2 + 2x 3 = 9 2x 1 + 4x 2- 3x 3 = 1 3x 1 + 6x 2- 5x 3 = Problem 2. Determine the values of k so that the following system in unknowns x 1 , x 2 , x 3 has: (i) a unique solution, (ii) no solution, (iii) an infinite number of solutions: x 1- 2x 2 = 1 x 1- x 2 + kx 3 = -2 kx 2 + 4x 3 = 6 Student Name:...
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NE112-quiz1-fall08 - x 1 + x 2 + 2x 3 = 9 2x 1 + 4x 2- 3x 3...

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