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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Definitions:

Predispositions to Respond

Innate or acquired tendencies in individuals to react in certain ways under specific conditions or stimuli.

Emotional Dissonance

Inconsistency between emotions we feel and those we try to project.

Deep Acting

A technique used in emotional labor where individuals attempt to feel genuinely the emotions that they need to display to others.

Affective Component

The emotional aspect of attitudes, which describes how people feel about something.