Question: 12. For the Z-matrix A $$A = begin{bmatrix} 2 & -1 & 0 -1 & 2 & 0 -2 & -1 & 1

12. For the Z-matrix A

$$A = \begin{bmatrix} 2 & -1 & 0 \\ -1 & 2 & 0 \\ -2 & -1 & 1 \end{bmatrix}$$

find lower and upper triangular matrices R and S, respectively, each with positive diagonal elements such that A = RS.

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