Carnegie Mellon

21-241 Matrix Algebra

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Schedule and Assignments

For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Aug 27 - 31
M: The Fundamental Problem in Linear Algebra
W: Solutions to Systems of Linear Equations
F: Matrices and Gaussian Elimination
Week #2:
Sep 3 - 7
M: Labor Day: No class.
W: Logic. What is a Proof?
F: What is a Theorem? Techniques of proof.
Week #3:
Sep 10 - 14
M: Vector Spaces
W: Geometry of Linear Equations
F: Dr. Handron out of town. No class.
Week #4:
Sep 17 - 21
M: Linear Transformations
W: Linear Transformations and Matrices
F: Matrix Operations
Week #5:
Sep 24 - 28
Exam Review
M: Representations of Matrix Multipllication
W: Inverse of a Matrix
F: Exam #1 is scheduled for Friday, September 28, during class time, in McConomy Auditorium.
Week #6:
Oct 1 - 5
M: Finding Matrix Inverses
W: Properties of the Determinants
F: Cofactor Expansion - Introduction
Week #7:
Oct 8 - 12
M: The Laplace Expansion Formula.
W: The Eigenvalue Problem
F: Properties of Eigenvalues and Eigenvectors
Administreative Note: Monday, October 8 is the course drop deadline. Students dropping after this date will receive a grade of W.
Week #8:
Oct 15 - 19
M: Subspaces
W: Properties of Linear Independence, and Bases
F: Mid-Semester Break. No class.
Week #9:
Oct 22 - 26
Exam Review
M: Basis and Dimension of Row Spaces
W: Basis and Dimension of Column Spaces and Null Spaces
F: Installation of Farnam Jahanian as CMU President. No Class.
Week #10:
Oct 29 - Nov 2
Exam #2 will happen at some point during Week #9 or Week #10.
M: Eigenvalues, Eigenvectors, Eigenspaces, Multiplicity
W: Orthogonal Vectors and Subspaces
F: Orthogonal Projections
Week #11:
Nov 5 - 9
M: The Orthogonal Decomposition Theorem, and Orthogonal Matrices
W: Orthogonal Matrices. The Gram-Schmidt Process
F: Least Squares Approximations
Administreative Note: Tuesday, November 6, is the course withdrawl deadline. Students may not withdraw after this date.
Week #12:
Nov 12 - 16
Exam Review
M: Coordinates, Change of Basis
W: Matrix of a Linear Transformation
F: Exam #3 is scheduled for Friday, November 16, during class time, in McConomy Auditorium.
Week #13:
Nov 19 - 23
M: Coordinate Representations of Linear Transformations
W: Thanksgiving Break. No class.
F: Thanksgiving Break. No class.
Week #14:
Nov 26 - 30
M: Similarity
W: Diagonalization
F: Orthogonal Diagonalization of Symmetric Matrices
Week #15:
Dec 3 - 7
M: Real Symmetric Matrices are Orthogonally Diagonalizable
W: Singular Value Decomposition
F: Computing the Singular Value Decomposition of a Matrix
Final Exam
Exam Review
The Final Exam has been scheduled for Tuesday, December 11 from 5:30-8:30pm in POS A35. Please take this into account when making your travel plans.