Math 303: Advanced Linear Algebra
Catalog course description: An advanced study of vector spaces including matrices, linear transformations, orthogonality, the singular value decomposition, and applications.
Syllabus
Slides
- Math 303 Section 16: Course Intro and Review of Determinants
- Math 303 Section 17: The Characteristic Equation
- Math 303 Section 18: Diagonalization
- Math 303 Section 19: Approximating Eigenvalues and Eigenvectors
- Math 303 Section 22: Vector Spaces
- Math 303 Section 23: Bases for Vector Spaces
- Math 303 Section 24: The Dimension of a Vector Space
- Math 303 Section 25: Coordinate Vectors and Coordinate Transformations
- Math 303 Section 26: Change of Basis
- Math 303 Section 27: The Dot Product in \(\mathbb{R}^n\)
- Math 303 Section 28: Orthogonal and Orthonormal Bases in \(\mathbb{R}^n\)
- Math 303 Section 29: Inner Product Spaces
- Math 303 Section 30: The Gram-Schmidt Process
- Math 303 Section 31: Orthogonal Diagonalization
- Math 303 Section 32: Quadratic forms and the Principal Axis Theorem