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Elimination with Matrices - MIT OpenCourseWare

Elimination with Matrices - MIT OpenCourseWare

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The elimination matrix used to eliminate the entry in row m column n is denoted Emn. The calculation above took us from A to E21 A. The three elimination steps leading to U were: E32(E31(E21 A)) = U, where E31 = I. Thus E32(E21 A) = U. Matrix multiplication is associative, so we can also write (E32E21)A = U.

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