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Linear Algebra
Index
Quarter 1
Quarter 2
Quarter 3
Quarter 4
Quarter 2
Assignments:
Video:
Isomorphisms (Abstract Algebra)
Homework: Chapter Three.I.1 Isomorphisms: Definition and Examples p.180-183
Homework: Chapter Three.I.2 Dimension Characterizes Isomorphism p.189-190
Learning Objectives:
Assignments:
Video:
Homomorphisms (Abstract Algebra)
Video:
Lecture 6: Column space and nullspace
Homework: Chapter Three.II.1 Homomorphisms p.196-199
Homework: Chapter Three.II.2 Range Space and Null Space p.208-211
Learning Objectives:
Assignments:
Homework: Chapter Three.III.1 Representing Linear Maps with Matrices p.219-222
Homework: Chapter Three.III.2 Any Matrix Represents a Linear Map p.228-231
Learning Objectives:
Assignments:
Video:
Matrix multiplication as composition
Video:
Three-dimensional linear transformations
Homework: Chapter Three.IV.1 Matrix Operations: Sums and Scalar Products p.234-235
Homework: Chapter Three.IV.2 Matrix Multiplication p.241-244
Learning Objectives:
Assignments:
Video:
Inverse matrices, columns space, and null space
Homework: Chapter Three.IV.3 Mechanics of Matrix Multiplication p.251-254
Homework: Chapter Three.IV.4 Inverses p.260-261
Learning Objectives:
Assignments:
Video:
Change of Basis
Homework: Chapter Three.V.1 Change of Basis: Changing Representations of Vectors p.265-267
Homework: Chapter Three.V.2 Changing Map Representations p.273-274
Learning Objectives:
Assignments:
Video:
Lecture 14: Orthogonal vectors and subspaces
Video:
Lecture 15: Projections onto subspaces
Video:
Lecture 16: Projection matrices and least squares
Video:
Lecture 17: Orthogonal matrices and Gram-Schmidt
Homework: Chapter Three.VI.1 Projection: Orthogonal Projection Into a Line p.278-279
Homework: Chapter Three.VI.2 Gram-Schmidt Orthogonalization p.283-285
Learning Objectives:
Assignments:
Homework: Chapter Three.VI.3 Projection Into a Subspace p.291-294
Milestone: Complete Chapter Three
Learning Objectives:
Assignments:
Semester 1 Final Exam Review
Learning Objectives:
Assignments:
Semester 1 Final Exam