Linear Algebra

Matrices, determinants and eigenvalues, with computation and proof side by side.

1. Unit 1

   Matrices

   Matrix multiplication · Inverse matrices

   • Multiplying 2×2 matricesCompute
   • Inverse of a 2×2 matrixCompute

2. Unit 2

   Determinants

   Computing determinants · Properties of the determinant

   • A 3×3 determinantCompute
   • The determinant of an inverseProof

3. Unit 3

   Eigenvalues

   The characteristic polynomial · Eigenvalues

   • A characteristic polynomialCompute
   • Eigenvalues of a 2×2 matrixCompute