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

All problems come with** full solutions** at a cost of $35 + tax.

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