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Subspace Lessons With Transcripts
Linear Algebra: Spanning Sets and Linear Independence (Section 4.4)
Definition of a linear combination of vectors, and then of a spanning set of a vector space. Examples determining whether or not various sets span des...
Linear AlgebraLinear Algebra: Subspaces of Vector Spaces (Section 4.3) | Math with Professor V
Definition of a subspace; various examples showing how to determine whether or not a subset of a vector space is a subspace. Lovely, straightforward l...
Linear AlgebraAlgorithms for Big Data (COMPSCI 229r), Lecture 17
Oblivious subspace embeddings, faster iterative regression, sketch-and-solve regression.
Algorithms for Big Data (COMPSCI 229r)Algorithms for Big Data (COMPSCI 229r), Lecture 16
Linear least squares via subspace embeddings, leverage score sampling, non-commutative Khintchine, oblivious subspace embeddings.
Algorithms for Big Data (COMPSCI 229r)Algorithms for Big Data (COMPSCI 229r), Lecture 15
Approximate matrix multiplication with Frobenius error via sampling / JL, matrix median trick, subspace embeddings.
Algorithms for Big Data (COMPSCI 229r)Linear Algebra Lectures - Lecture 40 The Gram-Schmidt Process
In this video, we learn the Gram-Schmidt process, which is used to find an orthogonal (or orthonormal) basis for a given subspace of R^n. Textbook: ht...
Linear Algebra Lectures 2025Linear Algebra Lectures - Lecture 32 Dimension, Rank, and Nullity
In this video, we learn about the "dimension" of a subspace of R^n. We also learn about the rank and nullity of a matrix, and the Rank-Nullity Theorem...
Linear Algebra Lectures 2025Linear Algebra Lectures - Lecture 30 Basis
In this video, we learn what a "basis" of a subspace is. We also learn how to find a basis for the null space and the column space of any matrix. Text...
Linear Algebra Lectures 2025Linear Algebra Lectures - Lecture 29 The Column Space of a Matrix
In this video, we learn about the "column space" of a matrix, which is a subspace of R^n associated with any n x m matrix. Textbook: https://webspace....
Linear Algebra Lectures 2025Linear Algebra Lectures - Lecture 28 The Null Space of a Matrix
In this video, we learn about the "null space" of a matrix, which is a subspace of R^m associated with any n x m matrix. Textbook: https://webspace.sh...
Linear Algebra Lectures 2025Linear Algebra Lectures - Lecture 27 Subspaces of R^n
In this video, we learn how to describe sets of vectors in R^n, and how to determine whether such a set has the properties necessary to be called a "s...
Linear Algebra Lectures 2025Mod-12 Lec-44 Orthogonal Complementary Subspaces, Orthogonal Projections
Linear Algebra by Dr. K.C. Sivakumar,Department of Mathematics,IIT Madras.For more details on NPTEL visit http://nptel.ac.in
Mathematics - Linear AlgebraSubspace Key Concepts
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