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Ax = b and the Four Subspaces (M-I-T)

S#	Lecture	Course	Institute	Instructor	Discipline
1	An Overview of Key Ideas (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
2	Column Space and Nullspace (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
3	Elimination with Matrices (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
4	Factorization into A = LU (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
5	Graphs, Networks, Incidence Matrices (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
6	Independence, Basis and Dimension (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
7	Matrix Spaces; Rank 1; Small World Graphs (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
8	Multiplication and Inverse Matrices (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
9	Solving Ax = 0: Pivot Variables, Special Solutions (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
10	Solving Ax = b: Row Reduced Form R (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
11	The Four Fundamental Subspaces (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
12	The Geometry of Linear Equations (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences
13	Transposes, Permutations, Vector Spaces (M-I-T)	Ax = b and the Four Subspaces (M-I-T)	MIT	Prof. Gilbert Strang	Basic and Health Sciences