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Elimination with Matrices - MIT OpenCourseWare

Elimination with Matrices - MIT OpenCourseWare

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the matrix A. The matrix P is constructed by exchanging rows of the identity matrix. To exchange the columns of a matrix, multiply on the right (as in AP) by a permutation matrix. Note that matrix multiplication is not commutative: PA = AP. Inverses We have a matrix: ⎡ ⎤ 1 0 0 E21 = ⎣ −3 0 1 0 0 1 ⎦ 2

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