MathAlgebraLinear algebraMatrix decomposition

LU Decomposition

Triangular matrices

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Recall triangular matrices. Which of the following matrices are either lower or upper triangular matrices?

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\begin{pmatrix} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6 \\ \end{pmatrix}

\begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 0 \\ 6 & 0 & 0 \\ \end{pmatrix}

\begin{pmatrix} 0 & 0 & 1 \\ 0 & 2 & 3 \\ 4 & 5 & 6 \\ \end{pmatrix}

\begin{pmatrix} 1 & 0 & 0 \\ 2 & 3 & 0 \\ 4 & 5 & 6 \\ \end{pmatrix}

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