Lehman College (CUNY) Math 313
Professor Nathanson · Lehman College (CUNY) · 7 lectures with notes
Students in this class: ask your lecturer for the class code, and these lectures will already be in your library when you sign up.
Linear Algebra - Lecture 7 - Fall, 2026
Matrices encode linear systems as Ax=b and support arithmetic, multiplication, transposition, and Gaussian elimination.
Linear Algebra - Lecture 6 - Fall, 2026
Linear algebra’s central ideas—independence, spanning, and bases—follow from solving homogeneous systems with more variables than equations.
Linear Algebra - Lecture 5 - Fall 2026
Dimension is well-defined because every basis of a given subspace has the same number of vectors.
Linear Algebra - Lecture 4 - Fall 2026
A proof that more variables than homogeneous equations guarantee a nonzero solution, followed by an introduction to linear dependence and independence.
Linear Algebra - Lecture 3 - Fall 2026
Gaussian elimination solves linear systems and reveals whether their solution sets are points, subspaces, or affine translates.
Linear Algebra - Lecture 2 - Fall 2026
Homogeneous linear equations have subspace solution sets; nonzero inhomogeneous equations produce translated subspaces.
Linear Algebra - Lecture 1 - Fall 2026
Linear equations become sets of vectors, and vector arithmetic reveals compact forms for their solution spaces.