Find an LU Factorization of the Matrix A $$A = \left[ \begin{array} { r r r } 2 & 3 & 5 \\4 & 9 & 5 \\4 & - 3 & 24\end{array} \right]$$

question 52

Multiple Choice

Find an LU factorization of the matrix A.
- $$A = \left[ \begin{array} { r r r } 2 & 3 & 5 \\4 & 9 & 5 \\4 & - 3 & 24\end{array} \right]$$

• A) \(\mathrm { A } = \left[ \begin{array} { r r r } 1 & 0 & 0 \\ 4 & 1 & 0 \\ 4 & - 3 & 1 \end{array} \right] \left[ \begin{array} { r r r } 2 & 3 & 5 \\ 0 & 3 & - 5 \\ 0 & 0 & - 1 \end{array} \right]\)
• B) \(A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\ 2 & 1 & 0 \\ 2 & - 3 & 1 \end{array} \right] \left[ \begin{array} { r r r } 3 & 3 & 5 \\ 0 & - 3 & 5 \\ 0 & 0 & 1 \end{array} \right]\)
• C) \(A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\ 2 & 1 & 0 \\ 2 & - 3 & 1 \end{array} \right] \left[ \begin{array} { c c r } 2 & 3 & 5 \\ 0 & 3 & - 5 \\ 0 & 0 & - 1 \end{array} \right]\)
• D) \(\mathrm { A } = \left[ \begin{array} { r r r } 1 & 0 & 0 \\ 4 & 1 & 0 \\ 4 & - 3 & 1 \end{array} \right] \left[ \begin{array} { r r r } 2 & 3 & 5 \\ 0 & 9 & 5 \\ 0 & 0 & 24 \end{array} \right]\)

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