MATH311ansHW3

# MATH311ansHW3 - Math 311, Homework 3 partial answers and...

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Math 311, Homework 3 partial answers and solutions 2.2D.2. Answer: u v w x y = s 1 - 1 1 0 0 0 + s 2 - 1 0 1 0 0 + s 3 1 0 0 1 0 + s 4 1 0 0 0 1 + 1 0 0 0 0 . 2.2D.4. Partial solution: a possible reduced form of this matrix (there are many) is 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 . Each column contains a leading entry. 2.2D.10. Partial solution: the given system is equivalent to 1 0 2 0 1 - 3 0 0 0 x y z = 1 1 0 . Note that the solution space does not contain 0 . 2.2D.11. Row reduction gives 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 x y z w = 0 0 0 0 . Thus the solution space of this system is the plane

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## This note was uploaded on 04/29/2008 for the course MATH 311 taught by Professor Anshelvich during the Spring '08 term at Texas A&M.

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MATH311ansHW3 - Math 311, Homework 3 partial answers and...

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