assig5 - Math 152, Spring 2010 Assignment #5 Notes: Each...

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Unformatted text preview: Math 152, Spring 2010 Assignment #5 Notes: Each question is worth 5 marks. Due in class: Monday, February 8 for MWF sections; Tuesday, February 9 for TTh sections. Solutions will be posted Tuesday, February 9 in the afternoon. No late assignments will be accepted. 1. (a) Use Gaussian elimination to find the set of solutions to the following homogeneous system. Present your answer in parametric form. x 1 + 4 x 2 + 4 x 3 + x 4 = 0 2 x 1 + x 2 + 3 x 4 = 0 x 1 + x 2 + x 3 + x 4 = 0 4 x 1- x 3 + 5 x 4 = 0 (b) Consider the following inhomogeneous linear system: x 1 + 4 x 2 + 4 x 3 + x 4 = 1 2 x 1 + x 2 + 3 x 4 = 2 x 1 + x 2 + x 3 + x 4 = 1 4 x 1- x 3 + 5 x 4 = 4 Check that (1 , , , 0) is a solution to this system. Based on this and your answer to part (a), describe the set of solutions to this inhomogeneous system (in parametric form) WITHOUT doing any elementary row operations....
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assig5 - Math 152, Spring 2010 Assignment #5 Notes: Each...

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