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If you are interested in learning to typeset mathematics here is a list of resources
compiled by Prof. Weber on LaTex
Tutorials
Angelica Babei will be available for tutorials this term. The tutorials are Tuesdays,
Thursdays and Sundays 7:00 - 9:00 PM. She will be in room KH 105.
Homework assignments
Late Homework will not be accepted.
Write the names of the people with whom you worked on the homework.
Please make sure that what you turned in for homework is your own understanding of how to do the problems.
Graded assignments: These problems will graded in detail.
Week 10
Friday, Nov. 20:
- Final Exam at 3PM in Dartmouth 105
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Monday, Nov. 16:
- Review
- Study for the final!
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Week 9
Week 8
Thursday, Nov. 5:
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Read: Section 4.9 and article on PageRank
Practice problems
4.9 # 2, 12
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Graded assignment (for Wednesday, Nov. 11)
7.1 # 28, 30, 32
4.9 # 10, 18, 19, 20
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Week 7
Friday, Oct. 30:
- Slides (For 10 Section): Gram-Schmidt
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Read: Section 6.4
Practice problems
6.3 # 2, 21, 22, 23
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Graded assignment (for Thursday, Nov. 5)
6.3 # 6, 10, 12, 14, 18, 20, 24
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Thursday, Oct. 29:
- Slides (For 10 Section): Orthogonal Projections
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Read: Section 6.3
Practice problems
6.2 # 6, 23, 24, 27, 33
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Graded assignment (for Thursday, Nov. 5)
6.2 # 10, 12, 14, 16, 22, 26, 28
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Wednesday, Oct. 28:
- Slides (For 10 Section): Orthogonal Sets
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Read: Section 6.2
Practice problems
5.3 # 26, 29
6.1 # 6, 19, 20, 23, 25, 27
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Graded assignment (for Thursday, Nov. 5)
5.3 # 28
6.1 # 14, 24, 26, 28, 30, 31
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Week 6
Friday, Oct. 23:
- Slides (For 10 Section): Diagonalization
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Read: Section 5.2 & 5.3
Practice problems
5.2: # 2, 3, 6, 15, 17, 19, 21, 22
5.3: # 4, 21, 22, 23, 24, 25
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Graded assignment (for Wednesday, Oct. 28)
5.2: # 14, 18, 24
5.3: # 6, 12, 16, 18
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Thursday, Oct. 22:
- Slides (For 10 Section): Finding Eigenvalues
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Read: Section 5.2
Practice problems
5.1: # 2,4,6, 8, 19, 21, 22, 23, 31
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Graded assignment (for Wednesday, Oct. 28)
5.1: # 10, 14, 20, 25, 27, 29
5.2: # 12
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Wednesday, Oct. 21:
- Slides (For 10 Section): The Characteristic Equation
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Read: Section 5.1 and 5.2
Practice problems
4.6: # 13, 17, 18, 20, 27, 29
4.7: # 2, 11, 12
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Graded assignment (for Wednesday, Oct. 28)
4.6 # 14, 16
4.7 # 4, 6, 10, 14
- Additional Graded problems: Range of a linear transformation
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Week 5
Friday, Oct. 16:
- Slides (For 10 Section): Change of Coordinates
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Read: Section 4.7
Practice problems
4.5: # 7, 8, 9, 19, 20, 21, 23, 25, 29, 30, 31
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Graded assignment (for Wednesday, Oct. 21)
4.5 # 22, 24, 26, 32
4.6 # 2, 4, 8, 12
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Thursday, Oct. 15:
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Read: Section 4.6
Practice problems
4.4: # 10, 11, 15, 16, 17, 19, 21, 28, 31
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Graded assignment (for Wednesday, Oct. 21)
4.4 # 14, 23, 24, 32
4.5 # 6, 12, 14
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Wednesday, Oct. 14:
- Slides (For 10 Section): Rank
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Read: Section 4.5
Practice problems
4.3: # 3, 5, 19, 21, 22, 23, 25, 29, 30
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Graded assignment (for Wednesday, Oct. 21)
4.3 # 14, 31, 32
4.4 # 4, 8, 10, 12
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Monday, Oct. 12:
- Slides (For 10 Section): Dimension
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Read: Section 4.4
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Week 4
Friday, Oct. 9:
- Slides (For 10 Section): Coordinates
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Read: Section 4.3
Practice problems
4.2: # 5, 7, 18, 25, 26, 33
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Graded assignment (for Wednesday, Oct. 14)
4.2 # 4, 10, 28, 30, 32
4.3 # 4, 10, 16
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Thursday, Oct. 8:
- Slides (For 10 Section): Basis
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Read: Section 4.2 and 4.3
Practice problems
4.1: # 2, 13, 23, 24
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Graded assignment (for Wednesday, Oct. 14)
3.2 # 33, 36
4.1 # 8, 12, 14, 22, 32
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Wednesday, Oct. 7:
- Slides (For 10 Section): Null Space (Kernel), Column Space, Kernel and Linear Transformations
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Read: Section 4.2
Practice problems
3.1: # 4, 11, 22, 39, 40
3.2: # 2, 4, 6, 15, 19, 27, 28, 33
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Graded assignment (for Wednesday, Oct. 14)
3.1: # 14
3.2: # 8, 22, 24, 29, 31, 32
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Week 3
Friday, Oct. 2:
- Slides (For 10 Section): Determinants
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Read: Section 3.1 and 3.2
Practice problems
2.2: # 7, 9, 10, 25, 21, 26, 37
2.3: # 3, 4, 5, 11, 12, 17
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Graded assignment (for Wednesday, Oct. 7)
2.2: # 22, 24, 32
2.3: # 6, 16, 18, 20
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Thursday, Oct. 1:
- Slides (For 10 Section): Characterization of Invertible Matrices
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Read: Section 2.2 and 2.3
Practice problems
2.1: # 4,7,8,12,15,16, 17-21
2.2: # 3, 7, 9, 10, 13
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Graded assignment (for Wednesday, Oct. 7)
2.1: # 6, 10, 22, 26, 33
2.2: # 6, 16
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Wednesday, Sept. 30:
- Slides (For 10 Section): Inverse of a Matrix
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Read: Section 2.1 and 2.2
Practice problems
1.9: # 2, 7, 9, 17, 23, 24, 36
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Graded assignment (for Wednesday, Oct. 7)
1.9: # 4, 8, 16, 19, 27, 35, 38
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Week 2
Friday. Sept. 25:
- Slides (For 10 Section): The Matrix of a Linear Transformation
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Read: Section 1.8 and 1.9
Practice problems
1.8: # 2, 7, 17, 21, 22, 23
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Graded assignment (for Wednesday, Sept. 30)
1.8: # 4,10, 12, 19, 30, 31, 34
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Thurs. Sept. 24:
- Slides (For 10 Section): Intro to Linear Transformations
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Read: Section 1.7 and 1.8
Practice problems
1.7: # 9, 15-24, 27, 31, 33-37
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Graded assignment (for Wednesday, Sept. 30)
1.5: # 28, 30
1.7: # 1, 6, 28, 36, 38
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Wed. Sept. 23:
- Slides (For 10 Section): Linear Independence
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Read: Section 1.4, 1.5 and 1.7
Practice problems
1.4: # 6, 8, 12 23-26, 29, 30
1.5: # 4, 14, 23, 24, 26, 34, 35
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Graded assignment (for Wednesday, Sept. 30)
1.4: # 14, 16, 20, 22, 32
1.5: # 6, 18, 25
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Week 1
Fri. Sept. 18:
- Slides (For 10 Section): Vector Equations
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Read: Section 1.3
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Practice problems
1.3: # 10, 23, 25, 29
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Graded assignment (for Wednesday, Sept. 23)
1.3: # 12, 14, 16, 21
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Thurs. Sept. 17:
- Slides (For 10 Section): Row Reduction and echelon forms
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Read: Section 1.2
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Practice problems
1.2: # 5, 11, 16, 19, 21, 22, 23
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Graded assignment (for Wednesday, Sept. 23)
1.2: # 4, 11, 24, 26, 28, 29
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Wed. Sept. 16:
- Slides (For 10 Section): Systems of Linear Equations
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Read: Section 1.1
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Practice problems
1.1: # 19, 23, 24, 27, 28, 29
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Graded assignment (for Wednesday, Sept. 23)
1.1: # 12, 16, 25, 26
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