Math 2051 Final Exam Review Package

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

  1. Orthogonality
  2. The “Best Solution” to a System of Equations
  3. Projection Matrices and Least Squares Approximation
  4. Data Fitting

Chapter 2 Material

  1. The Gram-Schmidt Algorithm
  2. QR-Factorization
  3. Orthogonal Matrices
  4. Least Squares Revisited

Chapter 3 Material

  1. Eigenvalues and Eigenvectors
  2. Similarity and Diagonalization
  3. Complex Numbers and Vectors
  4. Complex Matrices
  5. Unitary Diagonalization
  6. Real Symmetric Matrices are Orthogonally Diagonalizable

All problems come with full solutions at a cost of $35 (taxes included).

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