MathAlgebraLinear algebraMatrix decomposition

LU Decomposition

Correct matrices

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Which of the following matrices can be $LU$ -decomposed?

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\begin{pmatrix} 3 & 7 & 1 \\ 2 & 3 & -1 \\ 4 & 6 & -2 \\ \end{pmatrix}

\begin{pmatrix} 1 & 2 & 3 & 4 \\ 5 & 6 & 7 & 8 \\ 9 & 2 & 3 & 5 \\ \end{pmatrix}

\begin{pmatrix} 1 & 5 & 8 \\ 3 & 2 & 6 \\ 5 & 5 & 1 \\ \end{pmatrix}

\begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \\ \end{pmatrix}

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