-
(Section 5.1)
1-4: computational exercises checking the defintion. 5-12,
15-16 are
the 'core material' here. 'Find a basis for the eigenspace'
means 'find the general solution to (tI-A)x=0, where t is an
eigenvalue. Omit 17/18. 19-22 are very good exercises in
visuallizing the meaning of eigenvalues/eigenvectors. You
should understand 25! 27 is also good.
Proof questions:28, 29 (first part only), 30, 32, 33,34,35
Make sure that you know and
understand all the answers to the True/False questions.
Focus questions: 6, 10, 12, 20, 22, 25, 33, 35.
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(Section 5.2)
1-4. 5-10 are core material. 11-14 are important. 15/16.
17/18. 25/26
Proofs: 36,37,38, definitely not 41.
Make sure that you know and
understand the answers to the True/False questions. b/g
use terminology beyond the scope of the course.
Focus questions:
6, 8, 12, 14, 18, 25/26, 37
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