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The Geometry of Linear Equations

Gilbert Strang · 39:49

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The Geometry of Linear Equations

Gilbert StrangDistinguishedMIT

Professor of Mathematics

39:49·2008·undergraduate level
Path step 1: Establishes the column-space geometry underlying every linear representation.

Widely cited across Hacker News and math forums as the single clearest opening lecture in undergraduate mathematics: reframes systems of equations as linear combinations of column vectors within 15 minutes.

MathematicsLinear AlgebraColumn SpaceMatrix Systems

Professor Strang introduces the fundamental problem of linear algebra—solving Ax = b—through three complementary lenses: row pictures, column pictures, and matrix transformations.

Source: MIT OpenCourseWare via YouTubeWatch on YouTube
LecturerAll lecturers →
Gilbert StrangDistinguished

MIT Professor Emeritus & Author of Introduction to Linear Algebra

MIT Professor of Mathematics Emeritus whose legendary 18.06 Linear Algebra and 18.085 Computational Science courses educated millions of engineers and mathematicians.

3 courses · 56 lecturesCanon
Referenced inHacker News · 2 discussions
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Transposes, Permutations & Vector Spaces R^n

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