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(Section 2.1) 1-4, 5-8, 15-18, 19/20 (at least a couple of
parts, but not all!), 21-26, 27-32, 33*, 34, 36, 37-39.
Make sure that you know and
understand all the answers to the True/False questions.
Focus questions: 16, 19/20 (any two parts), 24, 26
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(Section 2.2) 1-8 (Conceptual exercises, read and understand),
9-14 are "core" material. 15-22 are key tests of
understanding of the techniques. 23 is an interesting example.
What happens with similar matrices in the 2x2 and 4x4 cases?
25-28: read and understand. 33 and 34 are worthwhile. Always
make sure you know and understand all the T/F exercises.
Focus questions: 13, 18/20/22, 26.
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(Section 2.3) 7-14. Try to choose in each case the most
efficient method of evaluating the determinant. 15-18 are good
test question. 19-23 involve a lot of arithmetic, but you
should do at least one or two. A typical test question would
give one of these matrices, and ask you to use the adjoint
method to find the entry in row 2, column 3 of the inverse.
The same sort of comments apply to 24-29. "Use Cramer's rule
to find the value of x2"
30, 31. 32 makes an interesting comparison, but you should
already know where the advantage lies! 33-35 are standard test
questions. You should be able to do all the proofs 36-39.
Always
make sure you know and understand all the T/F exercises.
Focus questions: 18, 22 (Find the entry in row 2, column 2),
26 (Find x_3), 34, 38.
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