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0:05:05
Rational Canonical Form for Matrices (Algebra 3: Lecture 2 Video 3)
0:16:09
F[x]-Modules: Invariant Factor Form (Algebra 3: Lecture 1 Video 1)
0:10:46
The Minimal Polynomial (Algebra 3: Lecture 1 Video 3)
0:19:49
Eigenvalues, Eigenvectors and the Characteristic Polynomial (Algebra 3: Lecture 1 Video 2)
0:15:19
Companion Matrix and Rational Canonical Form (Algebra 3: Lecture 1 Video 4)
0:08:23
Submodules of Free Modules over a PID, Part I (Algebra 2: Lecture 27 Video 4)
0:40:33
Classification of Modules over a PID: The Proof of Theorem 4 (Algebra 2: Lecture 28 Video 1)
0:16:17
Proof of Existence: Invariant Factor Form (Algebra 2: Lecture 27 Video 3)
0:13:05
Noetherian R-Modules (Algebra 2: Lecture 27 Video 1)
0:07:51
The Rank of an R-Module (Algebra 2: Lecture 27 Video 2)
0:10:44
Classification of Modules over a PID: Elementary Divisors (Algebra 2: Lecture 26 Video 3)
0:06:29
Classification of Modules over a PID Existence: Invariant Factors (Algebra 2: Lecture 26 Video 2)
0:21:19
Modules over a PID Intro: Finitely Generated Abelian Groups (Algebra 2: Lecture 26 Video 1)
0:11:49
A Change of Basis Example (Algebra 2: Lecture 25 Video 2)
0:08:05
Vector Spaces: Additional Things to Know (Algebra 2: Lecture 25 Video 3)
0:15:44
Matrix Multiplication is Associative (Algebra 2: Lecture 24 Video 4)
0:23:03
Similar Matrices and Change of Basis (Algebra 2: Lecture 25 Video 1)
0:08:23
Vector Spaces of Linear Transformations and Spaces of Matrices (Algebra 2: Lecture 24 Video 2)
0:07:12
Multiplying Matrices and Composing Linear Transformations (Algebra 2: Lecture 24 Video 3)
0:10:10
The Size of the General Linear Group over a Vector Space over Fq (Algebra 2: Lecture 23 Video 3)
0:11:38
The Dimension of the Quotient of Vector Spaces (Algebra 2: Lecture 23 Video 2)
0:13:15
Counting Bases and Subspaces of a Vector Space over a Finite Field (Algebra 2: Lecture 23 Video 1)
0:11:59
The Proof of the Replacement Theorem (Algebra 2: Lecture 22 Video 3)
0:13:41
The Dimension of a Vector Space (Algebra 2: Lecture 22 Video 2)
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