Linear Algebra · Week 1 of 13
Week 1
Four lectures, one recitation and a problem sheet. Book sections 1.1 to 1.4.
- L1 What linear algebra is about
- L2 Adding and scaling vectors
- L3 Linear combinations and span
- L4 Dot product, length and angle
- R1 Recitation 1Problem Sheet 1, worked through
Topics
- Lecture 1
- Vectors as arrows and as lists; the questions this course answers
- Lecture 2
- Vector operations, the rules they obey, Rn
- Lecture 3
- Combinations a v + b w, span of one, two, three vectors
- Lecture 4
- Norm, angle, Cauchy–Schwarz and triangle inequalities