2004Fall20Final-public

# 2004Fall20Final-public - Name: ID#: Final Exam Math 20...

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Name: ID#: Final Exam Math 20 Introduction to Linear Algebra and Multivariable Calculus January 21, 2005 Show all of your work. Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Do not unstaple or remove pages. This is a non-calculator exam. Students who, for whatever reason, submit work not their own will ordi- narily be required to withdraw from the College. —Handbook for Students

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Problem Possible Points Number Points Earned 1 10 2 10 3 15 4 15 5 10 6 10 7 20 8 10 9 10 10 10 Total 120
Part I. Techniques

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1 1 1. (10 Points) Find the Reduced Row Echelon Form of the matrix A = 1 2 3 1 8 1 3 0 1 7 1 0 2 1 3 . In this and in any problem where you do Gaussian Elimination, label your row operations to receive full or partial credit. / 10 2
2 2 2. (10 Points) Find the parametric form of the solution to the system of linear equations x 1 + 2 x 2 + 3 x 3 + x 4 = 8 x 1 + 3 x 2 + x 4 = 7 x 1 + 2 x 2 + x 4 = 3 / 10 3

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3 3. (15 Points) Let A = 2 - 2 3 0 3 - 2 0 - 1 2 . Find the inverse of
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## This note was uploaded on 11/10/2009 for the course MATH 1850 taught by Professor Mihaibeligan during the Spring '09 term at UOIT.

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2004Fall20Final-public - Name: ID#: Final Exam Math 20...

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