2004Fall20MTII

# 2004Fall20MTII - Name: ID#: Midterm II Math 20 Introduction...

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Name: ID#: Midterm II Math 20 Introduction to Linear Algebra and Multivariable Calculus 22 November 2004 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 12 2 8 3 20 4 13 5 12 6 10 Total 75
1 1 1. (12 Points) Suppose that det a b c d e f g h k = 7 . Find the following, with justiﬁcation. (i) det a b c 3 d 3 e 3 f g h k (ii) det 3 a b c d e f g h k 1

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1 1 (iii) det d e f g h k a b c (iv) det a b c d + g e + h f + k g h k / 12 2
2 2. (8 Points) Suppose B is a square matrix with B 2 = B . What can you say about det( B ) ? / 8

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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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2004Fall20MTII - Name: ID#: Midterm II Math 20 Introduction...

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