Linear Algebra  MATH 147

Assisted:

Dr. Daniel Szyld

Textbook:
Matrix Analysis and Applied Linear Algebra, by Carl D. Meyer, SIAM Press, Philadelphia, 2000, $75 (includes solutions manual and CD with complete book).

What we have covered:
Tue. 21 January 2003. Sections 1.1, 1.2.
Thu. 23 January 2003. Sections 2.1, 2.3. (COW modules: Matrices: Row reduction: Echelon form and rank)
Tue. 28 January 2003. Started with Sections 2.4, 2.5. handed in Homework, due Tue. 4 Feb. 2003. (COW modules: Matrices: Linear Equations: Homogeneous Systems)
Thu. 30 January 2003. Continued with Sections 2.4, 2.5. (COW modules: Matrices: Linear Equations: Inhomogeneous Systems)
Tue. 4 February 2003. Review of Sections 2.4, 2.5. Quiz.
Thu. 6 February 2003. Covered Sections 3.1, 3.2. (COW modules: Matrices: Matrix Algebra: Algebraic Operations)
Tue. 11 February 2003. Exam 1.
Thu. 13 February 2003. Covered Sections 3.3, 3.4, beginning of 3.5.
Tue. 18 February 2003. More on Matrix product. Covered Sections 3.5, 3.6. Distributed Homework 2, due Tue. 25 Feb. 2003.
Thu. 20 February 2003. Section 3.7: Matrix Inverse.
Please note: To obtain an inverse, we do not use Gauss-Jordan as in book. We do forward elimination and n back substitutions.
Tue. 25 February 2003. Section 3.8. The Sherman-Morrison formula. Inverse of a rank-one update.
Thu. 27 February. Section 3.9. Elementary Matrices, Distributed Homework 3.
Tue. 4 March 2003. Section 3.10: LU Factorization.
Thu. 6 March. Review and Quiz.
Tue. 18 March. Chapter 4: Sections 4.1, 4.2.
Thu. 20 March. Review of 4.1 and 4.2. Covered 4.3, 4.4. (COW modules: 2. Spaces and Transformations 4.Subspaces)
Tue. 25 March. review of 4.4, and cover 4.5.
Thu. 27 March. Exam 2. covering chapters 3 and 4 (until 4.4).
Tue. 1 April. review exam questions/answers, section 4.7.
Thu. 3 April. Section 5.1, inner products, norms, angles. (COW modules:21.Linear Algebra > 4.Inner Products > 1.Inner Product and Length)
Tue. 8 April. Section 5.4, and Quiz 3. (COW modules:21.Linear Algebra > 4.Inner Products > 2.Orthogonal Vectors). Distributed Homework 4.
Thu. 10 April. We went over the quiz, and Section 5.5.
Tue. 15 April. We went over the homework, and Section 5.9.
Thu. 17 April. Sections 5.9 and 5.11. (COW modules:21.Linear Algebra > 4.Inner Products >3.Orthogonal Spaces > 1.Orthogonal complements in Euclidean space).
Tue. 22 April. Sections 6.1 and 6.2. Determinants.
Thu. 24 April. Section 7.1. Eigenvectors and eigenvalues.

Monday May 5 at 11:30. Room 507 Wachman Hall.

Monday May 12 at 10:00. Room 507 Wachman Hall.

FINAL EXAM: Tuesday May 13, 11:00-1:00, 310 Curtis Hall.

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