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Home » Basic and Health Sciences » Mathematics » Linear Algebra (Fall 2011) (M-I-T) » Ax = b and the Four Subspaces (M-I-T) » Column Space and Nullspace (M-I-T)

Column Space and Nullspace (M-I-T)

Course:Ax = b and the Four Subspaces (M-I-T)
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Gilbert Strang
Level:Undergraduate

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

An Overview of Key Ideas (M-I-T)
Column Space and Nullspace (M-I-T)
Elimination with Matrices (M-I-T)
Factorization into A = LU (M-I-T)
Graphs, Networks, Incidence Matrices (M-I-T)
Independence, Basis and Dimension (M-I-T)
Matrix Spaces; Rank 1; Small World Graphs (M-I-T)
Multiplication and Inverse Matrices (M-I-T)
Solving Ax = 0: Pivot Variables, Special Solutions (M-I-T)
Solving Ax = b: Row Reduced Form R (M-I-T)
The Four Fundamental Subspaces (M-I-T)
The Geometry of Linear Equations (M-I-T)
Transposes, Permutations, Vector Spaces (M-I-T)

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