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Elimination with Matrices

Gilbert Strang MIT

Professor of Mathematics

47:42·2008·undergraduate level

Turns Gaussian elimination from tedious bookkeeping into matrix algebra by deriving elimination and row-exchange matrices from first principles.

Mathematics Linear Algebra Gaussian Elimination Pivots Permutation Matrices

Gaussian elimination systematically triangularizes linear systems, expressed cleanly via elementary elimination and permutation matrices.

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Lecture 1: The Geometry of Linear Equations (18.06)

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Matrix Multiplication and Inverse Matrices

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Part of course21 lectures

18.06: Linear Algebra

Prof. Gilbert Strang

Gilbert Strang's gold-standard MIT undergraduate course building geometric and algebraic intuition for systems of equations, vector spaces, orthogonality, determinants, and eigenvalues.

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