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Linear Algebra
Index
Quarter 1
Quarter 2
Quarter 3
Quarter 4
Quarter 3
Assignments:
Video:
The determinant
Video:
Lecture 18: Properties of determinants
Homework: Chapter Four.I.1 Determinants: Exploration p.329-331
Homework: Chapter Four.I.2 Properties of Determinants p.335-336
Learning Objectives:
Assignments:
Video:
Lecture 19: Determinant formulas and cofactors
Homework: Chapter Four.I.3 The Permutation Expansion p.343-346
Homework: Chapter Four.I.4 Determinants Exist p.353-354
Learning Objectives:
Assignments:
Homework: Chapter Four.II.1 Determinants as Size Functions p.359-362
Homework: Chapter Four.II.2 Laplace’s Expansion p.367-368
Milestone: Complete Chapter Four
Learning Objectives:
Assignments:
Video:
Lecture 22: Diagonalization and powers of A
Homework: Chapter Five.II.1 Polynomial Factoring and Complex Numbers p.405-407
Homework: Chapter Five.II.2 Diagonalizability p.411-412
Learning Objectives:
Assignments:
Video:
Eigenvectors and eigenvalues
Video:
Lecture 21: Eigenvalues and eigenvectors
Homework: Chapter Five.II.3 Eigenvalues and Eigenvectors p.421-423
Homework: Chapter Five.III.1 Self-Composition p.427-428
Learning Objectives:
Assignments:
Homework: Chapter Five.III.2 Strings p.438-439
Homework: Chapter Five.IV.1 Polynomials of Maps and Matrices p.446-448
Learning Objectives:
Assignments:
Video:
Lecture 28: Similar matrices and Jordan form
Homework: Chapter Five.IV.2 Jordan Canonical Form p.461-463
Milestone: Complete Chapter Five
Learning Objectives:
Assignments:
Video:
Lecture 3: Multiplication and Inverse Matrices
Video:
Lecture 4: Factorization into A LU
Video:
Lecture 5: Transposes, Permutations, Spaces R^n
Video:
Lecture 20: Cramer's rule, inverse matrix, and volume
Learning Objectives:
Assignments:
Semester 2 Midterm Exam Review
Learning Objectives:
Assignments:
Semester 2 Midterm Exam