Linear Algebra Quiz
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SYSTEMS OF LINEAR EQUATIONS & MATRICES
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To begin the LU decomposition of matrix A=(231−4−126138)A = \begin{pmatrix} 2 & 3 & 1 \\ -4 & -1 & 2 \\ 6 & 13 & 8 \end{pmatrix}, the row operation applied to row 2 to create a zero in the first column is R2→R2+2R1R_2 \to R_2 + 2R_1. What is the entry l21l_{21} in the resulting unit lower triangular matrix LL?
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