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Linear Algebra

Mathematics · Prof. Gilbert Strang · Spring 2010 · Undergraduate

This course is published by MIT OpenCourseWare. Below are the lectures we have indexed, in the order they were taught. For problem sets, notes and exams, visit the original course page.

  1. Lecture 1: The geometry of linear equations
  2. Lecture 2: Elimination with matrices
  3. Lecture 3: Multiplication and inverse matrices
  4. Lecture 4: Factorization into A = LU
  5. Lecture 5: Transposes, permutations, spaces R^n
  6. Lecture 6: Column space and nullspace
  7. Lecture 7: Solving Ax = 0: pivot variables, special solutions
  8. Lecture 8: Solving Ax = b: row reduced form R
  9. Lecture 9: Independence, basis, and dimension
  10. Lecture 10: The four fundamental subspaces
  11. Lecture 11: Matrix spaces; rank 1; small world graphs
Still from the lecture “Lecture 1: The geometry of linear equations”
Mathematics

Lecture 1: The geometry of linear equations

Linear Algebra · Prof. Gilbert Strang

Still from the lecture “Lecture 2: Elimination with matrices”
Mathematics

Lecture 2: Elimination with matrices

Linear Algebra · Prof. Gilbert Strang

Still from the lecture “Lecture 3: Multiplication and inverse matrices”
Mathematics

Lecture 3: Multiplication and inverse matrices

Linear Algebra · Prof. Gilbert Strang

Still from the lecture “Lecture 4: Factorization into A = LU”
Mathematics

Lecture 4: Factorization into A = LU

Linear Algebra · Prof. Gilbert Strang

Still from the lecture “Lecture 5: Transposes, permutations, spaces R^n”
Mathematics

Lecture 5: Transposes, permutations, spaces R^n

Linear Algebra · Prof. Gilbert Strang

Still from the lecture “Lecture 6: Column space and nullspace”
Mathematics

Lecture 6: Column space and nullspace

Linear Algebra · Prof. Gilbert Strang