Start with Lecture 1 of the official notes, watch Strang draw the column picture on the blackboard, and then rewrite that idea in your own words. Within a month, matrices will no longer be grids of numbers—they will be maps of vector spaces, and you will hold the legend.
The notes aren't just information. They are a conversation with one of the greatest math educators of the 20th century, preserved in ASCII text and PDFs. lecture notes for linear algebra gilbert strang
Often overlooked, OCW provides separate notes by teaching assistants (like Dr. Martina Balagovic) that focus on how to solve specific types of problems (e.g., “How to find a basis for the nullspace”). These are gold for exam prep. Start with Lecture 1 of the official notes,
But there is a quieter, more accessible companion to that famous textbook: the . They are a conversation with one of the
| Subspace | Notation | Dimension | Contained in | |----------|----------|-----------|---------------| | Column space | (C(A)) | (r) | (\mathbbR^m) | | Nullspace | (N(A)) | (n - r) | (\mathbbR^n) | | Row space | (C(A^T)) | (r) | (\mathbbR^n) | | Left nullspace | (N(A^T)) | (m - r) | (\mathbbR^m) |