(Solved):   11. Solve as two triangular systems, without multiplying \( L U \) to find \( A \) : \[ L ...

 

11. Solve as two triangular systems, without multiplying \( L U \) to find \( A \) : \[ L U x=\left[\begin{array}{lll} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 1 & 0 & 1 \end{array}\right]\left[\begin{array}{lll} 2 & 4 & 4 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{array}\right]\left[\begin{array}{l} u \\ v \\ w \end{array}\right]=\left[\begin{array}{l} 2 \\ 0 \\ 2 \end{array}\right] \]