Linear Algebra

Math 365, Fall 2025
with professor Mark McClure

Handy links

• Syllabus
• Course schedule
  • Outline
  • Calendar
• The textbook
• MyOpenMath
• The Sage Cell Server
• The Math Lab!

Notes

• Geometry of systems
• Reduced row echelon form
• Using SageMath
• Componentwise proofs
• Geometry of linear transformations
• Determinants
• Subspaces
• Eigenspaces
• Diagonalization
• Eigenratings
  • Notes
  • Colab notebook
  • Lab
• Cosine similarity
• Computing orthogonal projections
• Orthogonal least squares
• Massey Ratings
• Abstract vector spaces
  • VS chapter in FCLA
  • Inner products
  • A Legendre polynomial computation

Handouts

• Problems for day 1
• Review for Quiz 1
• Review for Exam 1
• Review for Quiz 2
• Review for Exam 2
• Review for Quiz 3
• Final Review

import {eigen_pic} from './components/linear-side_pic.js'
eigen_pic(
    [
      [1, 1],
      [1/2, 3/2]
    ],
    [
      [1, 1],
      [-2, 1]
    ],
    { dd: 0.2 }
  )