Все публикации

Rational Canonical Form for Matrices (Algebra 3: Lecture 2 Video 3)

F[x]-Modules: Invariant Factor Form (Algebra 3: Lecture 1 Video 1)

The Minimal Polynomial (Algebra 3: Lecture 1 Video 3)

Eigenvalues, Eigenvectors and the Characteristic Polynomial (Algebra 3: Lecture 1 Video 2)

Companion Matrix and Rational Canonical Form (Algebra 3: Lecture 1 Video 4)

Submodules of Free Modules over a PID, Part I (Algebra 2: Lecture 27 Video 4)

Classification of Modules over a PID: The Proof of Theorem 4 (Algebra 2: Lecture 28 Video 1)

Proof of Existence: Invariant Factor Form (Algebra 2: Lecture 27 Video 3)

Noetherian R-Modules (Algebra 2: Lecture 27 Video 1)

The Rank of an R-Module (Algebra 2: Lecture 27 Video 2)

Classification of Modules over a PID: Elementary Divisors (Algebra 2: Lecture 26 Video 3)

Classification of Modules over a PID Existence: Invariant Factors (Algebra 2: Lecture 26 Video 2)

Modules over a PID Intro: Finitely Generated Abelian Groups (Algebra 2: Lecture 26 Video 1)

A Change of Basis Example (Algebra 2: Lecture 25 Video 2)

Vector Spaces: Additional Things to Know (Algebra 2: Lecture 25 Video 3)

Matrix Multiplication is Associative (Algebra 2: Lecture 24 Video 4)

Similar Matrices and Change of Basis (Algebra 2: Lecture 25 Video 1)

Vector Spaces of Linear Transformations and Spaces of Matrices (Algebra 2: Lecture 24 Video 2)

Multiplying Matrices and Composing Linear Transformations (Algebra 2: Lecture 24 Video 3)

The Size of the General Linear Group over a Vector Space over Fq (Algebra 2: Lecture 23 Video 3)

The Dimension of the Quotient of Vector Spaces (Algebra 2: Lecture 23 Video 2)

Counting Bases and Subspaces of a Vector Space over a Finite Field (Algebra 2: Lecture 23 Video 1)

The Proof of the Replacement Theorem (Algebra 2: Lecture 22 Video 3)

The Dimension of a Vector Space (Algebra 2: Lecture 22 Video 2)