Colin Carroll

Math 355: Linear Algebra

Course Lecture Notes.


Please let me know if you spot any mistakes in the "new" notes.

First set. This contains geometry of systems linear equations, Gaussian elimination, matrix multiplication, and A = LU factorization.


Second set. This set covers inverses, vector spaces, linear independence, basis, dimension and complete solutions to Ax = b.


Third set. This set covers mostly orthogonality of vectors and subspaces, as well as Gram-Schmidt.


Old notes. This is a big pdf with mostly handwritten notes from teaching the course two years ago. The new notes are/will be much better.



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