15.3 4-by-4 LU Factorization

Types: N/A
Examples: N/A
Constructions: N/A
Generalizations: 15.1 LU Factorization without Pivoting

Properties: N/A
Sufficiencies: N/A
Questions: N/A

4-by-4 LU Factorization

[\begin{matrix} 5 & 2 & 3 & 6 \\ - 10 & - 2 & - 5 & - 10 \\ - 5 & - 11 & 1 & 4 \\ 10 & 16 & 0 & - 2 \end{matrix}] \cdot [\begin{matrix} x_{1} \\ x_{2} \\ x_{3} \\ x_{4} \end{matrix}] = [\begin{matrix} - 11 \\ 20 \\ 7 \\ - 14 \end{matrix}]

\begin{proof}[Solution.]
![[4x4_LU_Factorization.pdf]]
\end{proof}