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Mathematics 227 Course Outline
Text: Linear Algebra, 2nd ed., (updated), Lay - Addison Wesley (ISBN 0-201-347741)
Study Guide (ISBN 0-201-64847-4)
Instructor: Alan Stein
<stein@math.uconn.edu>
This outline is tentative and subject to change.
| Section
| Topic
| Exercises
|
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1.1
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Systems of Linear Equations
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5, 6, 9, 10, 19-22, 29, 30
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1.2
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Row Reduction and Echelon Forms
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1, 2, 5, 6, 13, 14, 21-24
|
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1.3
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Vector Equations
|
7-12, 21, 22, 31, 32
|
|
1.4
|
Matrix Equations
|
3, 4, 7, 8, 19, 20, 23, 24, 29, 30
|
|
1.5
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Solution Sets of Linear Systems
|
1, 2, 7, 8, 13, 14, 21, 22, 25, 26
|
|
1.6
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Linear Independence
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2, 10, 14, 18, 27, 28
|
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1.7
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Linear Transformations
|
2, 6, 12, 14, 22 - 24
|
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1.8
|
Matrix of a Linear Transformation
|
4, 12, 14, 22 - 24
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2.1
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Matrix Operations
|
2, 6, 10, 15, 16, 24
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2.2
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Inverse of a Matrix
|
4, 6, 9, 10, 12, 14, 18, 32, 34
|
|
2.3
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Invertible Matrices
|
2, 4, 6, 8, 10, 13, 14
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2.4
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Partitioned Matrices
|
1-7, 8, 10
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2.5
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Matrix Factorizations
|
1, 5, 7, 9, 13
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|
3.1
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Determinants
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4, 8, 10, 14, 38
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3.2
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Properties of Determinants
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12, 14, 16, 18, 20, 22, 26, 27, 28
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3.3
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Cramer's Rule
|
1, 3, 5, 7, 11, 13, 19, 21, 23, 27, 29, 30, 31
|
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4.1
|
Vector Spaces and Subspaces
|
1-11 odd, 16, 18, 22, 28
|
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4.2
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Null Spaces, Column Spaces and Linear Transformations
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4, 6, 9-17 odd, 22, 24, 34
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4.3
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Linearly Independent Sets; Bases
|
1-15 odd, 21, 22, 24, 30
|
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4.4
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Coordinate Systems
|
3-9 odd, 14-16, 20, 28
|
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4.5
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Dimension of a Vector Space
|
5-13 odd, 22, 29, 30
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4.6
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Rank
|
1-21 odd
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4.7
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Change of Basis
|
1-5, 7, 19
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5.1
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Eigenvectors and Eigenvalues
|
9-15 odd, 26, 32
|
|
5.2
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Characteristic Equation
|
2, 6, 10, 14, 16, 18
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5.3
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Diagonalization
|
1-13 odd, 20, 24, 26
|
|
5.4
|
Eigenvectors and Linear Transformations
|
1-15 odd
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6.1
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Inner Product, Length and Orthogonality
|
1-9 odd, 11, 17, 23
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6.2
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Orthogonal Sets
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1, 3, 5, 9, 13, 17, 19
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6.3
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Orthogonal Projections
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1, 3, 5, 7
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| Final Examination
| Friday, December 14, 2:00 p.m.-4:00 p.m.
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