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Linear AlgebraEasyRow Reduction & Rank

Row Reduction & Rank · Easy problem

Elimination without row exchanges writes A=LUA = LU for

A=(211433−612),A = \begin{pmatrix} 2 & 1 & 1 \\ 4 & 3 & 3 \\ -6 & 1 & 2 \end{pmatrix},

where LL is lower triangular with 11s on its diagonal. What is the entry ℓ31\ell_{31} of LL?