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

(13 Lectures Available)

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

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