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Home » Basic and Health Sciences » Mathematics » Linear Algebra (Spring 2010) (M-I-T) » Lecture 7: Solving Ax = 0: pivot variables, special solutions (M-I-T)

Lecture 7: Solving Ax = 0: pivot variables, special solutions (M-I-T)

Course:Linear Algebra (Spring 2010) (M-I-T)
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Gilbert Strang
Level:Undergraduate

Linear Algebra (Spring 2010) (M-I-T)

Lecture 10: The four fundamental subspaces (M-I-T)
Lecture 11: Matrix spaces; rank 1; small world graphs (M-I-T)
Lecture 12: Graphs, networks, incidence matrices (M-I-T)
Lecture 13: Quiz 1 review (M-I-T)
Lecture 14: Orthogonal vectors and subspaces (M-I-T)
Lecture 15: Projections onto subspaces (M-I-T)
Lecture 16: Projection matrices and least squares (M-I-T)
Lecture 32: Quiz 3 review (M-I-T)
Lecture 17: Orthogonal matrices and Gram-Schmidt (M-I-T)
Lecture 33: Left and right inverses; pseudoinverse (M-I-T)
Lecture 18: Properties of determinants (M-I-T)
Lecture 34: Final course review (M-I-T)
Lecture 19: Determinant formulas and cofactors (M-I-T)
Lecture 3: Multiplication and inverse matrices (M-I-T)
Lecture 1: The geometry of linear equations (M-I-T)
Lecture 4: Factorization into A = LU (M-I-T)
Lecture 20: Cramer's rule, inverse matrix, and volume (M-I-T)
Lecture 5: Transposes, permutations, spaces R^n (M-I-T)
Lecture 6: Column space and nullspace (M-I-T)
Lecture 21: Eigenvalues and eigenvectors (M-I-T)

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