Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) [ 2 0 0 ] [ 0 -4 1 ] [ 12 32 4 ] LU =
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Given matrix A: $$ A = \begin{bmatrix} -4 & 1 \\ 32 & -8 \end{bmatrix} $$ We can start by finding the first column of L and the first row of U. $$ L = \begin{bmatrix} 1 & 0 \\ l_{21} & 1 \end{bmatrix}, \quad U = \begin{bmatrix} u_{11} & u_{12} \\ 0 & Show more…
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