Linear Algebra

Table of Contents

• Introduction

  • Linear mappings
  • Linear functions in 2-D

• Equations of lines

  • Vector Equation of a Line (2D)
  • Vector equation of a line (3D)
  • Vector Equation of a Line (3D) v2
  • Vector Equations of 2 Lines (3D)
  • Vector Equations of 2 Lines (3D) v2

• Matrices

  • Matrix addition

• Simultaneous equations

  • Simultaneous equations as vector sums
  • Intersection of 3 planes
  • Intersection of Three Planes
  • Simultaneous equations with 3 variables as sum of 3 vectors

• Matrices and transformations

  • Linear Transformations 1
  • Text book example
  • Transformation of Unit Square
  • MEI Rotation Matrix
  • Invariance 1
  • Invariance 2
  • Invariance 3
  • Invariance 4
  • 3D Matrix Rotation
  • Line reflection