Linear Algebra

HOMEWORK

This schedule is tentative and will be updated as we go along.

Week Date Topic Problems

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6/5 Vector Spaces 1.2 #4, 5; 3.2 #1-21.

6/6

6/7 Subspaces 3.3 #1-12, 13ab, 14bc, 15-18, 22, 24-26.

6/8 Span 3.3 #21, 27-30; 3.4 #1, 4.

6/9 Solving Linear Systems 2.1 #7-9, 14-17, 29, 30.

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6/12 Linear Independence 3.4 #11-23, 26-28.

6/13 Basis 3.5 #1-22, 28-29, 35.

6/14 Dimension 3.5 #23-27, 30-34, 36-46.

6/15 Coordinates 1.3 #11-15, 30; 3.7 #1-25.

6/16

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6/19 Quiz

6/20 Linear Transformations 1.4 #9-12, 30, 32, 34; 1.6 #1-22; 5.1 #1-4, 7, 14, 15, 17, 19-28, 30, 32.

6/21 Kernel and Range 3.6 #1-12; 5.1 #5, 6, 8-13, 18, 29, 33, 34; 5.2 #1-12, 14-23.

6/22 Rank-Nullity 5.2 #13, 24-31.

6/23 No Class

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6/26 Big Picture for R^n 3.8 #9, 10, 12-14, 18-21, 24-30.

6/27 Isomorphism 3.7 #26-36.

6/28 Inverses 2.2 #7-12, 17-20.

6/29 Matrix Representations 5.3 #1-11, 13-22.

6/30 Similarity 5.5 #1-6, 9-15.

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7/3 Review Ch. 3: Supp. Ex. #1-4, 10-14ac, 16, 17, 25, 30, 33; T/F #2, 4-16, 18-21; Quiz #1-10.
Ch. 5: Supp. Ex. #4-15; T/F #1-10; Quiz #1, 2, 4-6.

7/4 Holiday

7/5 Test

7/6 Determinants 6.1 #8, 9, 11-16; 6.3 #5-8, 11, 12.

7/7 Properties of Determinants 6.2 #1, 2, 6-15, 17, 23-26; 6.4 #4, 7, 9.

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7/10 Eigenvalues/vectors 7.1 #1-10, 13-18, 20, 30.

7/11

7/12 Perron-Frobenius 7.9 #1, 3, 6.

7/13 Diagonalization 7.2 #1-7, 10, 11, 14-20.

7/14

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7/17 Quiz

7/18 Inner Product Spaces 4.1 #1, 2, 9, 10, 18; 4.3 #1-19, 23, 27, 28, 31-36, 41.

7/19

7/20 Orthogonal Complement 4.4 #23ab, 25, 28; 4.5 #1-10.

7/21 Projection 4.5 #11-14, 17-21.

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7/24 Gram-Schmidt 4.4 #1-6, 9-11, 13, 15.

7/25 Fourier Polynomials 4.5 #22, 23; also do degree two for sin^2 and cos^2.

7/26 Symmetric Matrices 4.3 #25; 7.4 #15-28; 7.6 #1-10, 23, 24.

7/27 Conic Sections 7.7 #19-24; 7.8 #4, 8, 15, 16, 18-20, 28.

7/28 Review Ch. 6: Supp. Ex. #1, 2; T/F #1-7, 9, 11, 12; Quiz #1-7.
Ch 7: Supp. Ex. #1, 2, 4, 7-9; T/F #1-18, 20; Quiz #1-7, 9a, 11, 12.
Ch. 4: Supp. Ex. #1-9, 11-16; T/F #1-12; Quiz #1-8.

7/31 Test

Week	Date	Topic	Problems
W E E K 1	6/5	Vector Spaces	1.2 #4, 5; 3.2 #1-21.
6/6
6/7	Subspaces	3.3 #1-12, 13ab, 14bc, 15-18, 22, 24-26.
6/8	Span	3.3 #21, 27-30; 3.4 #1, 4.
6/9	Solving Linear Systems	2.1 #7-9, 14-17, 29, 30.
W E E K 2	6/12	Linear Independence	3.4 #11-23, 26-28.
6/13	Basis	3.5 #1-22, 28-29, 35.
6/14	Dimension	3.5 #23-27, 30-34, 36-46.
6/15	Coordinates	1.3 #11-15, 30; 3.7 #1-25.
6/16
W E E K 3	6/19	Quiz
6/20	Linear Transformations	1.4 #9-12, 30, 32, 34; 1.6 #1-22; 5.1 #1-4, 7, 14, 15, 17, 19-28, 30, 32.
6/21	Kernel and Range	3.6 #1-12; 5.1 #5, 6, 8-13, 18, 29, 33, 34; 5.2 #1-12, 14-23.
6/22	Rank-Nullity	5.2 #13, 24-31.
6/23	No Class
W E E K 4	6/26	Big Picture for R^n	3.8 #9, 10, 12-14, 18-21, 24-30.
6/27	Isomorphism	3.7 #26-36.
6/28	Inverses	2.2 #7-12, 17-20.
6/29	Matrix Representations	5.3 #1-11, 13-22.
6/30	Similarity	5.5 #1-6, 9-15.
W E E K 5	7/3	Review	Ch. 3: Supp. Ex. #1-4, 10-14ac, 16, 17, 25, 30, 33; T/F #2, 4-16, 18-21; Quiz #1-10. Ch. 5: Supp. Ex. #4-15; T/F #1-10; Quiz #1, 2, 4-6.
7/4	Holiday
7/5	Test
7/6	Determinants	6.1 #8, 9, 11-16; 6.3 #5-8, 11, 12.
7/7	Properties of Determinants	6.2 #1, 2, 6-15, 17, 23-26; 6.4 #4, 7, 9.
W E E K 6	7/10	Eigenvalues/vectors	7.1 #1-10, 13-18, 20, 30.
7/11
7/12	Perron-Frobenius	7.9 #1, 3, 6.
7/13	Diagonalization	7.2 #1-7, 10, 11, 14-20.
7/14
W E E K 7	7/17	Quiz
7/18	Inner Product Spaces	4.1 #1, 2, 9, 10, 18; 4.3 #1-19, 23, 27, 28, 31-36, 41.
7/19
7/20	Orthogonal Complement	4.4 #23ab, 25, 28; 4.5 #1-10.
7/21	Projection	4.5 #11-14, 17-21.
W E E K 8	7/24	Gram-Schmidt	4.4 #1-6, 9-11, 13, 15.
7/25	Fourier Polynomials	4.5 #22, 23; also do degree two for sin^2 and cos^2.
7/26	Symmetric Matrices	4.3 #25; 7.4 #15-28; 7.6 #1-10, 23, 24.
7/27	Conic Sections	7.7 #19-24; 7.8 #4, 8, 15, 16, 18-20, 28.
7/28	Review	Ch. 6: Supp. Ex. #1, 2; T/F #1-7, 9, 11, 12; Quiz #1-7. Ch 7: Supp. Ex. #1, 2, 4, 7-9; T/F #1-18, 20; Quiz #1-7, 9a, 11, 12. Ch. 4: Supp. Ex. #1-9, 11-16; T/F #1-12; Quiz #1-8.
	7/31	Test

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OU Math Dept OU Last Modified 26th Jul 06