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1. Vectors and Dot Products The notes begin with the definition of vectors in $n$-dimensions. Key concepts include:

2. Solving Linear Equations: $Ax = b$ The core computational engine of the course.


The official source is MIT OpenCourseWare: 18.06 Linear Algebra (Fall 2011).

Legal status: All materials are under a Creative Commons License (BY-NC-SA). You may download, share, and print them freely for non-commercial use.

Important note: Prof. Strang does not publish a single, monolithic “Lecture Notes PDF.” Instead, the OCW page provides structured, modular PDFs per topic.


| If you want… | Do this… | |----------------|--------------| | A concise, printable reference | Download the MIT 18.06 Lecture Summaries (official OCW PDFs). | | Deep understanding | Watch Strang’s YouTube lectures (free) while following student notes from a reputable GitHub repo. | | A searchable offline file | Accept that you’ll likely get an old textbook PDF – then supplement with OCW summaries. | | The closest thing to “notes by Strang” | Buy the e-book of Introduction to Linear Algebra (5th ed.) – it’s organized lecture-by-lecture. |


When you print or annotate the PDF, stop highlighting entire paragraphs. Instead, use the 4-subspace grid:

MIT has a dedicated resource called Res.18-008 (Calculus Revisited, but including linear algebra supplements). However, the most famous direct link is to a PDF titled "The Geometry of Linear Equations" or the full "Problem Solving Manual" that accompanies Strang’s text. These are official resources that act as expanded lecture notes.

Author: Professor Gilbert Strang (Massachusetts Institute of Technology) Subject: Linear Algebra (MIT Course 18.06)