# 18.700 Linear Algebra

**Catalog description:**

Vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. More emphasis on theory and proofs than in 18.06.

**From the math departmentâ€™s subject overview for algebra and number theory:**

18.700 is a rigorous treatment of linear algebra. Compared with 18.06, there is more emphasis on theory and proofs. Along with 18.100, this subject provides a good place to learn how to construct and write proofs.

Resources:

- Fall 2022 Lecture Notes
- Fall 2019 class website (has problem sets)