2006Spring20MTII-sol

# 2006Spring20MTII-sol - Name: ID#: Solutions to Midterm II...

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Name: ID#: Solutions to Midterm II Math 20 Introduction to Multivariable Calculus and Linear Algebra April 14, 2006 Rules: This is a one-hour exam. Calculators are not allowed. Unless otherwise stated, 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 as they can be lost in the grading process. Please do not put your name on any page besides the ﬁrst page. If you like, you may put your ID number on the top of each page you write on. Hints: Read the entire exam to scan for obvious typos or questions you might have. Budget your time so that you don’t run out. Problems may stretch across several pages. Relax and do well! Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the College. —Handbook for Students

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Summary Data Problem 1 2 3 4 5 6 Total Percent Max Possible 9 16 9 9 10 7 60 100% Max Achieved 9 16 9 9 10 5 57 95% Mean 8.64 12.92 8.17 7.92 8.31 4.67 50.61 84% Median 9.0 14.0 9.0 9.0 9.5 5.0 53.5 89% Mode 9 16 9 9 10 5 54 90% % full credit 83% 23% 53% 57% 47% 0% 0% 0% % no credit 0% 0% 3% 7% 0% 0% 0% 0% Standard Deviation 0.7510 2.9662 1.6750 2.3139 2.0793 0.6236 6.9213 12% Correlation with Total 0.3096 0.8265 0.4608 0.7334 0.7340 0.3883 1.0000 1.0000
1 1 1. (9 Points) Let A = 1 1 2 4 0 1 1 3 1 1 1 1 2 1 2 2 Find the reduced row echelon form of A . Solution. We have A = 1 1 2 4 0 1 1 3 1 1 1 1 2 1 2 2 | · ( - 1) ←------ + | · ( - 2) ←---------------- + ± 1 1 2 4 0 1 1 3 0 0 - 1 - 3 0 - 1 - 2 - 6 ←- + ± 1 1 2 4 0 1 1 3 0 0 - 1 - 3 0 0 - 1 - 3 | · ( - 1) ←------ + ± 1 1 2 4 0 1 1 3 0 0 1 3 0 0 0 0 | · ( - 1) ←------ + | · ( - 2) ←---------------- + ± 1 1 0 - 2 0 1 0 0 0 0 1 3 0 0 0 0 | · ( - 1) ←------ + ± 1 0 0 - 2 0 1 0 0 0 0 1 3 0 0 0 0 N / 9 1

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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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2006Spring20MTII-sol - Name: ID#: Solutions to Midterm II...

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