On this page you will find recommended exercises for each part of the book
that we cover. You are expected to understand the concepts as well as the
computations involved in completing each of the exercises.
Part I: Vector Spaces and Linear Transformations (Chapters 3 and 4)
Section 3.1: 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16
Section 3.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 23, 25, 26
Section 3.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15
Section 3.4: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17
Section 3.5: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Section 4.1: 7, 10, 16, 19, 21, 22, 25
Section 4.2: 5, 7, 14, 15, 20
Exam Date: 26 February 2018
Part II: Orthogonality (Chapter 5)
Section 5.1: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 15, 16, 18
Section 5.2: 2, 4, 6
Section 5.4: 4, 5, 6, 7, 8, 9, 10, 11, 17, 18, 25, 26, 30, 32
Section 5.6: 1, 3, 4, 8
Exam Date: 9 April 2018
Part III: Eigentheory (Chapter 6)
Section 6.1: 1, 2, 3, 4, 8, 9, 12, 13, 21, 24, 26, 32
Section 6.2: 1, 2, 3! (do 3 first and apply its result to 2)
Section 6.3: 1, 2, 3, 6, 18, 19, 30?, 31, 32, 34
Exam Date: 30 April 2018
For extra practice with matrix theory/computations, try these:
Section 1.1: 1(ab), 2(ab), 5(ac), 6(adg), 7, 8, 9
Section 1.2: 1, 2, 3(be), 6(bc), 8, 10, 13, 14
Section 1.3: 1, 2(abf), 10, 15, 16
Section 1.4: 3, 4, 5, 7, 21, 22, 24(ab), 27, 34, 35
Section 1.5: 1, 2, 6, 7, 8(ab), 10(abcd), 16, 21, 26
Section 1.6: 1, 4(cd), 6, 8, 12, 22
Section 2.1: 1-6 all, 8, 9, 11, 12
Section 2.2: 1-7 all, 9, 10, 12, 13, 14, 15, 16, 17, 19
Section 2.3: 1-13 all
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