Linear Algebra · Week 4 of 13

Week 4

Four lectures, one recitation and a problem sheet. Book sections 3.2 to 3.5.

  1. L13 Linear transformations of Rn 17:05
  2. L14 Matrix multiplication 12:41
  3. L15 Matrix algebra 16:36
  4. L16 Inverse matrices 17:55
  5. R4 Recitation 4Problem Sheet 4, worked through 30:17

Topics

Lecture 13
Linearity, standard matrix, rotations, shears, projections, reflections
Lecture 14
Product as composition, rules, non-commutativity
Lecture 15
Transpose, symmetric, triangular and block matrices, trace
Lecture 16
Invertibility, Gauss–Jordan inversion

This week's PDFs