Linear Algebra for Math2601: Theory

Chapters

• Table of contents. 1. Introduction
• 2. Basic concepts
• 3. Gaussian elimination (review)
• 4. Using Gaussian elimination: Column space, nullspace, rank, nullity inverse matrix
• 5. Vectorspace, coordinates. Change of basis. Linear functions and their matrices
• 6. Gram-Schmidt procedure. QR factorization. Orthogonal projection. Least square
• 7. Eigenvalues, eigenvectors, diagonalization
• 8. Appendix 1: Gaussian elimination in details
• 9. Appendix 2: Determinants and Cramer's formula

Linear Algebra for Math2601: Numerical Methods

Chapters

• Table of contents. 1. Introduction
• 2. Partial pivoting, LU factorization
• 3. QR factorization revisited
• 4. Iterative methods
• 5. Numerical computation of eigenvalues
• 6. Summary