MathAlgebraLinear algebraMatrix decomposition

LU Decomposition

Correct LU matrices

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Which of these matrices could be $L$ or $U$ ?

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L=\begin{pmatrix} 1 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 9 \\ \end{pmatrix}, \: U=\begin{pmatrix} 4 & 0 & 0 \\ 0 & 7 & 0 \\ 0 & 0 & 1 \\ \end{pmatrix}

L=\begin{pmatrix} 1 & 0 & 0 \\ 5 & 2 & 0 \\ 4 & 6 & 8 \\ \end{pmatrix}, \: U=\begin{pmatrix} 4 & 4 & 4 \\ 0 & 2 & 5 \\ 0 & 0 & 7 \\ \end{pmatrix}

L=\begin{pmatrix} 3 & 7 & 8 \\ 0 & 4 & 1 \\ 0 & 0 & 5 \\ \end{pmatrix}, \: U=\begin{pmatrix} 1 & 0 & 0 \\ 2 & 7 & 0 \\ -5 & 8 & 9 \\ \end{pmatrix}

L=\begin{pmatrix} 4 & 0 & 0 \\ 5 & 0 & 0 \\ 8 & 3 & 2 \\ \end{pmatrix}, \: U=\begin{pmatrix} 2 & 7 & 1 \\ 0 & 4 & 5 \\ 0 & 0 & 13 \\ \end{pmatrix}

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