01:640:350 - Linear Algebra

Week

Sections

Homeworks

Week 1: 9/4-9/8

1.2: Vector spaces

1.3: Subspaces

1.2: 9, 12, 17

1.3: 8(a),(e)

Due on 9/13   Solutions

Week 2: 9/11-9/15

1.3: Subspaces

1.4: Linear combinations, System of Linear Equations

09/11

09/13

1.3: 18, 19, 23

1.4: 4(a), 5(g), 12, 14

Due on 9/20   Solutions

Quiz 1   Solution

Week 3: 9/18-9/22

1.5: Linear dependence, linear independence

1.6: Bases and dimension

09/18

09/20

1.5: 2(e), 9, 15

1.6: 3(a),(b), 15, 21, 26

Due on 10/2   Solutions

Week 4: 9/25-9/29

1.6: Bases and dimension

2.1: Linear transformations

2.2: Matrix Representation of linear transformation

09/25

09/27

2.1: 3, 9(a)-(e), 15, 28

2.2: 2(a), (g), 4, 8, 10

Due on 10/9   Solutions

Quiz 2   Solution

Week 5: 10/2-10/6

2.3: Composition of linear transformation

2.4: Invertibility and Isomorphisms

10/02

10/04

2.3: 3(a),(b), 4(d), 12

2.4: 2(f), 9, 15

Due on 10/16   Solutions

Week 6: 10/9-10/13

2.5: The change of Coordinate Matrix

3.1: Elementary Matrix Operations, Elementary Matrices

10/09

Practice Mid 1

Practice 1 solution

2.5: 3(d), 5, 8

Due on 10/23   Solutions

Week 7: 10/16-10/20

Midterm 1

3.2: The Rank of a Matrix, Matrix Inverse

10/16

10/18

3.1: 4, 6

3.2: 5(d),(h), 9, 15, 17

3.3: 8, 10

Due on 10/30   Solutions

Week 8: 10/23-10/27

3.3-3.4: Systems of Linear Equations

4.1: Determinants of order 2

4.2: Determinants of order n

10/23

10/25

3.4: 3, 4(a), 5, 8

4.1: 11, 12

4.2: 3, 21, 26

Due on 11/8   Solutions

Quiz 3   Solution

Week 9: 10/30-11/3

4.3-4.4: Properties of Determinants

5.1: Eigenvalues and Eigenvectors

10/30

11/01

4.3: 11, 20, 23, 24

Due on 11/8   Solutions

Week 10: 11/6-11/10

5.2: Diagonalizability

5.4: Invariant Subspaces and the Caley-Hamilton Theorem

11/06

11/08

5.1: 5(e) , 9 (a),(b), 20, 21

5.2: 2(g)

5.2: 7, 9(a), 13

Due on 11/15   Solutions

Quiz 4   Solution

Week 11: 11/13-11/17

5.4: Invariant Subspaces and the Caley-Hamilton Theorem

7.1: Jordan Canonical Form I

Practice Mid 2

Practice 2 solution

11/13

11/15

5.4: 6(d), 13, 18

Due on 11/22

Solutions   Solutions

Week 12: 11/20-11/24

Midterm Exam 2

11/20

Midterm 2 Solution

7.1: 3(a), 4

7.2: 2, 3, 4(a), 10

Due on 11/29   Solutions

Week 13: 11/27-12/1

7.2: Jordan Canonical Form II

6.1: Inner Products and Norms

6.2: Gram-Schmidt Orthogonalization

11/27

7.2: 4(d), 5(c), 6

6.1: 3, 9, 11, 20(a)

6.2: 2(a), 2 (c)

Due on 12/06   Solutions

Week 14: 12/4-12/8

6.3: Adjoint of a linear operator

6.4-6.5: Diagonalize symmmetric matrices

12/04

12/06

6.2: 19 (b), (c), 21

6.3: 2(a),(c), 3(a), 3(c)

6.3: 20 (a),(c) (only for linear approximation)

6.5: 2(d), (e)

Due on 12/13   Solutions

Quiz 5   Solution

Week 15: 12/11-12/15

6.4-6.5: Diagonalize symmmetric matrices

Review

12/11

12/13

Week 16: 12/18-12/25

Final Exam

Final Practice   Solution