Math 4140 Textbook

Math 4140 Matrix Theory

Course Topics

Textbook:

Linear Algebra with Applications (7th edition) by Steven J. Leon

Web Page:

Hema Srinivasan's 4140 Web Page

Grading Policy:

In general, there will be two or three mid-term exams, homework, and a final exam. A sample distribution of points is given below.

Mid-term exams (3 at 100 points each)   300 points
Quizzes/Assignments 100 points
Final exam 200 points
Total 600 points.

Sections Covered

1.1:  Systems of Linear Equations
1.2:  Row Echelon Form
1.3:  Matrix Algebra
1.4:  Elementary Matrices
1.5:  Partitioned Matrices (Optional)
2.1:  The Determinant of a Matrix
2.2:  Properties of Determinants
2.3:  Cramer's Rule
3.1:  Definition and Examples
3.2:  Subspaces
3.3:  Linear Independence
3.4:  Basis and Dimension
3.5:  Change of Basis
3.6:  Row Space and Column Space
4.1:  Definition and Examples
4.2:  Matrix Representations of Linear Transformations
4.3:  Similarity
5.1:  The Scalar Product in Rn
5.2:  Orthogonal Subspaces
5.3:  Least Squares Problems (Optional)
5.4:  Inner Product Spaces
5.5:  Orthonormal Sets
5.6:  The Gram-Schmidt Orthogonalization Process
6.1:  Eigenvalues and Eigenvectors
6.4:  Hermitian Matrices

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This page was last updated Wednesday, February 4, 2009

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