9/10: Introduction
9/14: 2D Vectors, addition, scalar multiplication
9/15: Vectors in Rn, linear combinations, span
9/17: Span, standard basis vectors, magnitude and unit vectors
9/21: Dot product, Angle between vectors, Inequalities
9/22: Inequalities, Cross Product
9/24: Cross Product, Equation of a plane
9/28: Equation of a plane, Equation of a line
9/29: Projections
10/1: Projections, part 2
10/5: Linear Dependence and Independence
10/6: Matrix notation
10/8: Matrix-vector and matrix-matrix multiplication
10/12: Thanksgiving Day, no lecture
10/13: Fall Break, no lecture
10/15: Review for Midterm Test #1, Practice Exam, Solutions
10/16: Monday Schedule! Midterm Test #1, Solutions
10/19: Matrix multiplication, continued
10/20: Systems of linear equations and row operations
10/22: Gaussian Elimination
10/26: Gaussian Elimination, continued
10/27: Gaussian Elimination, continued
10/29: Homogeneous systems
11/2: Matrix inverses and matrix equations
11/3: Gauss-Jordan elimination
11/5: Elementary matrices and LU factorization
11/9: LU and PLU factorizations
11/10: Minors, cofactors, adjoints, and determinants
11/12: Computing Determinants
11/16: Review for Midterm Test #2, Practice Exam, Solutions
11/17: Midterm Test #2, Solutions
11/19: Properties of Determinants
11/23: Computing Determinants, Part 2
11/24: Eigenvectors, Eigenvalues, Characteristic Polynomials
11/26: Eigenvectors, Eigenvalues, Complex Numbers
11/30:
12/1:
12/3: Final Review
12/??: Final Exam
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