: Professor Strang released a formal set of notes that outline a basic linear algebra course lecture-by-lecture. A preface and sample pages are available on MIT Mathematics .

If you prefer reading over watching videos, MIT OCW offers downloadable PDF transcripts of every single video lecture. Reading these transcripts alongside his blackboard drawings mimics the experience of reading a highly polished, conversational textbook. Open-Source Community Recaps

Complete PDF lecture notes, transcriptions of video lectures, problem sets with solution keys, and past exams.

Example: Let $T: \mathbbR^2 \to \mathbbR^2$ be a linear transformation defined by $T(\mathbfx) = \beginbmatrix 2 & 1 \ 1 & 1 \endbmatrix \mathbfx$.

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