Syllabus: Linear Algebra 250
Fraleigh and Beauregard, Linear Algebra, 3rd ed.:
- Chapter 1: Linear Systems
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Vectors, Matrices, Systems of Equations, Elementary Matrices,
and Inverses. Bases.
- Chapter 2: Dimension and Rank
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Linear Transformations, Independence, Dimension, Rank.
- Chapter 3: Vector Spaces
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Coordinates, bases, linear maps.
- Chapter 4: Determinants
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Volumes, Determinants, Cramer's rule.
- Chapter 5: Eigen
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Eigenvalues and Eigenvectors, Zen TV, Diagonalization
- Chapter 6: Orthogonality
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Projections, Gram-Schmidt.
- Chapter 7-9: Eigen II
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Eigenvalues and Eigenvectors II, Zen G, Jordan-Canonical