§ Series

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Algebra on the Blackboard

Linear algebra spoken aloud: vectors, matrices, eigenstructure — and where each idea actually shows up.

8 episodesRU · ENRSS →

Episodes

  • 01

    Complex Numbers, Matrices, and Determinants

    Complex numbers, matrix operations, determinants and their properties

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    2 MIN
  • 02

    Groups, Rings, and Fields

    Basic algebraic structures and their properties

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    3 MIN
  • 03

    Vector Spaces

    Basis, dimension, linear maps, matrix of a linear map

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    3 MIN
  • 04

    Linear Operators and the Jordan Form

    Invariants of operators, Jordan normal form

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    3 MIN
  • 05

    Euclidean and Unitary Spaces

    Inner product, orthogonalization, self-adjoint operators

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    3 MIN
  • 06

    Tensor Algebra

    Multilinear forms, tensor product, tensors in physics

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    2 MIN
  • 07

    Group Theory: Sylow Theorems

    Normal subgroups, Sylow theorems, solvable groups

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    2 MIN
  • 08

    Tensor Algebra and Sylow Theorems (Advanced)

    Modules, categories, homological algebra

    With: Iris (host) · Marcus (co-host) · Dr. Patel (guest)

    3 MIN