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Exercises for Linear Algebra 1600a, Fall 2008

Past finals, midterms and self-tests below.

The final covers the whole course, but will focus on material from Chapter 4 onwards.

Below is a list of the recommended exercises for the course. You are expected to work through all of these exercises as we cover the section in class. This is the best way to learn the material! Don't wait until just before the exams and quizzes to do the exercises.

The odd numbered exercises have answers at the back of the text and solutions in the solutions manual.

Section Exercises
Section 1.1  3, 6, 7, 10, 11, 13, 16, 17, 21, D3, D9
Section 1.2  3, 9, 19, 23, 25, 26, D7 (exercise 12 removed)
Section 1.3  5, 7, 9, 11, 13, 23, 33
Section 2.1  1, 3, 9, 13, 18, 21, 25
Section 2.2  1, 5, 7, 8, 43, 45; do enough of 9, 10, 11, 13, 14, 15, 16 to be completely comfortable
Section 2.3  not covered
Section 3.1  3, 5, 7, 11, 15, 17(a), 23, D9
Section 3.2  7, 9, 15, 21, 24, 25, 32(a), D5
Section 3.3  1, 3, 5, 7(a), 11, 21, 23, D5
Section 3.4  3, 5, 9, 13, 15, 19, 21, 23, D6
Section 3.5  3, 7, 11, 12, 15, 17(a,b), D1, D4
Section 3.6  1, 3(a,b), 6, 7, 11, 15, 23, D11
Section 3.7  not covered
Section 3.8  not covered
Section 4.1  1, 5, 9, 13, 19, 21, 27, 29, 32
Section 4.2  3, 7(a), 11, 13, 15, 22, 23, 25, 27
Section 4.3  1, 7, 11, 15, 19, 21, 24, 45
Section 4.4  1, 3, 5, 7, 13, 14
Chapter 5  not covered
Section 6.1  3, 5, 9, 10, 17, 19, 23, 29
Section 6.2  1, 3, 5, 9, 11, 12, 15, 17 (skip pages 288-293)
Section 6.3  1, 3, 5, 7, 9, 11, 13, 15, 17, D1
Section 6.4  1, 3, 5, 13, 15, 17, 19, 23(a), 23(b), 27, D1
Section 6.5  not covered
Section 7.1  1, 3, 5(b), 7, 8, 9, D3, D4
Section 7.2  1, 3, 5(a), 7, 9, 13, 15, 17, D1
Section 7.3  1, 3, 6, 7, 9, 11, 17, 21, 29, 31, D2
Section 7.4  2, 3, 7, 9, 11, 19, D1, D2; for a challenge: 24; 3, D1 added, 13 dropped; (skip pages 355-357)
Section 7.5  1, 3, 5, 7, 9, 13, D4 (except D4(e)); (skip pages 365-366)
Section 7.6  1, 3, 7, 9, 11, 13, 15, D3 (skip 7.6.4 and 7.6.5)
Section 7.7  1, 3, 5, 7, 9, 11, 13, 15, 17 (skip Strang diagrams, 7.7.7, 7.7.8)
Section 7.8  1, 5, 9, 11
Section 7.9  1(b,c), 3(b,c), 5, 7(b), 17, 23, 35, D3
Section 7.10  not covered
Section 7.11  1, 3, 7, 9, 13, 17, D2
Section 8.1  1, 3, 5, 7, 9, 13, 15, 17, 21, 27, D4
Section 8.2  1, 3, 5, 7, 9, 13, 15, 19, 21, D2, D3, D4
End of course material

Old final exams

You can use these past finals for practice: December 2005, April 2005. They were written by different professors who may have chosen to emphasize different topics, but they will still be good practice.

Old midterms

You can use these past midterms for practice: November 2005, March 2006, March 2008. They were written by different professors who may have chosen to emphasize different topics, but they will still be good practice. They also cover some material past section 4.4, which won't be on our midterm.

Self-tests

Here are some self-tests you can do to practice the material.

This page will be updated as the course progresses, so check back often.

Please also check the course web page regularly for announcements and other information.

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