This 54 page Final Exam preparation guide includes examples and all theorems, lemmas, and corollaries dealing with the topics after the second midterm, and does not cover the entire course:
Chapter 1 Material
- Orthogonality
- The “Best Solution” to a System of Equations
- Projection Matrices and Least Squares Approximation
- Data Fitting
Chapter 2 Material
- The Gram-Schmidt Algorithm
- QR-Factorization
- Orthogonal Matrices
- Least Squares Revisited
Chapter 3 Material
- Eigenvalues and Eigenvectors
- Similarity and Diagonalization
- Complex Numbers and Vectors
- Complex Matrices
- Unitary Diagonalization
- Real Symmetric Matrices are Orthogonally Diagonalizable
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