18.06 | Spring 2010 | Undergraduate

Linear Algebra

Lecture Videos

video
88 MB
Lecture 1: The geometry of linear equations
video
103 MB
Lecture 2: Elimination with matrices
video
106 MB
Lecture 3: Multiplication and inverse matrices
video
107 MB
Lecture 4: Factorization into A = LU
video
103 MB
Lecture 5: Transposes, permutations, spaces R^n
video
104 MB
Lecture 6: Column space and nullspace
video
94 MB
Lecture 7: Solving Ax = 0: pivot variables, special solutions
video
103 MB
Lecture 8: Solving Ax = b: row reduced form R
video
109 MB
Lecture 9: Independence, basis, and dimension
video
108 MB
Lecture 10: The four fundamental subspaces
video
104 MB
Lecture 11: Matrix spaces; rank 1; small world graphs
video
104 MB
Lecture 12: Graphs, networks, incidence matrices
video
103 MB
Lecture 13: Quiz 1 review
video
107 MB
Lecture 14: Orthogonal vectors and subspaces
video
105 MB
Lecture 15: Projections onto subspaces
video
104 MB
Lecture 16: Projection matrices and least squares
video
110 MB
Lecture 17: Orthogonal matrices and Gram-Schmidt
video
Gil Strang's Final 18.06 Linear Algebra Lecture
video
106 MB
Lecture 18: Properties of determinants
pdf
85 kB
MIT18_06S10_L01.pdf
pdf
89 kB
MIT18_06S10_L02.pdf
pdf
86 kB
MIT18_06S10_L03.pdf
pdf
92 kB
MIT18_06S10_L04.pdf
pdf
90 kB
MIT18_06S10_L05.pdf
pdf
88 kB
MIT18_06S10_L06.pdf
pdf
87 kB
MIT18_06S10_L07.pdf
pdf
88 kB
MIT18_06S10_L08.pdf
pdf
93 kB
MIT18_06S10_L09.pdf
pdf
91 kB
MIT18_06S10_L10.pdf
pdf
85 kB
MIT18_06S10_L11.pdf
pdf
89 kB
MIT18_06S10_L12.pdf
pdf
90 kB
MIT18_06S10_L13.pdf
pdf
90 kB
MIT18_06S10_L14.pdf
pdf
89 kB
MIT18_06S10_L15.pdf
pdf
91 kB
MIT18_06S10_L16.pdf
pdf
91 kB
MIT18_06S10_L17.pdf
pdf
89 kB
MIT18_06S10_L18.pdf
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105 kB
MIT18_06S10_L19.pdf
pdf
98 kB
MIT18_06S10_L20.pdf
pdf
97 kB
MIT18_06S10_L21.pdf
pdf
100 kB
MIT18_06S10_L22.pdf
pdf
97 kB
MIT18_06S10_L23.pdf
pdf
101 kB
MIT18_06S10_L24.pdf
pdf
96 kB
MIT18_06S10_L24b.pdf
pdf
88 kB
MIT18_06S10_L25.pdf
pdf
91 kB
MIT18_06S10_L26.pdf
pdf
90 kB
MIT18_06S10_L27.pdf
pdf
89 kB
MIT18_06S10_L28.pdf
pdf
78 kB
MIT18_06S10_L29.pdf
pdf
86 kB
MIT18_06S10_L30.pdf
pdf
94 kB
MIT18_06S10_L31.pdf
pdf
89 kB
MIT18_06S10_L32.pdf
pdf
80 kB
MIT18_06S10_L33.pdf
pdf
81 kB
MIT18_06S10_L34.pdf
video
115 MB
Lecture 19: Determinant formulas and cofactors
video
112 MB
Lecture 20: Cramer's rule, inverse matrix, and volume
video
114 MB
Lecture 21: Eigenvalues and eigenvectors
video
112 MB
Lecture 22: Diagonalization and powers of A
video
116 MB
Lecture 23: Differential equations and exp(At)
video
114 MB
Lecture 24: Markov matrices; fourier series
video
108 MB
Lecture 24b: Quiz 2 review
video
98 MB
Lecture 25: Symmetric matrices and positive definiteness
video
104 MB
Lecture 26: Complex matrices; fast fourier transform
video
110 MB
Lecture 27: Positive definite matrices and minima
video
102 MB
Lecture 28: Similar matrices and Jordan form
video
89 MB
Lecture 29: Singular value decomposition
video
107 MB
Lecture 30: Linear transformations and their matrices
video
112 MB
Lecture 31: Change of basis; image compression
video
102 MB
Lecture 32: Quiz 3 review
video
91 MB
Lecture 33: Left and right inverses; pseudoinverse
video
94 MB
Lecture 34: Final course review

Course Info

Departments
As Taught In
Spring 2010
Level
Undergraduate
Topics
Learning Resource Types
Lecture Videos
Problem Sets with Solutions
Exams with Solutions
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