Solve the Equation Ax = B by Using the LU

question 1

Multiple Choice

Solve the equation Ax = b by using the LU factorization given for A.
- $$\begin{array} { l } A = \left[ \begin{array} { r r r } 3 & - 1 & 2 \\- 6 & 4 & - 5 \\9 & 5 & 6\end{array} \right] , \mathbf { b } = \left[ \begin{array} { r } 6 \\- 3 \\2\end{array} \right] \\A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\- 2 & 1 & 0 \\3 & 4 & 1\end{array} \right] \left[ \begin{array} { r r r } 3 & - 1 & 2 \\0 & 2 & - 1 \\0 & 0 & 4\end{array} \right]\end{array}$$

• A) \(\mathbf { x } = \left[ \begin{array} { r } 49 \\ - 38 \\ 32 \end{array} \right]\)
• B) \(\mathbf { x } = \left[ \begin{array} { c } 22 \\ - 7 \\ 15 \end{array} \right]\)
• C) \(\mathbf { x } = \left[ \begin{array} { c } 10 \\ - 2 \\ - 13 \end{array} \right]\)
• D) \(\mathbf { x } = \left[ \begin{array} { r } 25 \\ - 58 \\ 51 \end{array} \right]\)

Identify and manage complications related to IV therapy, such as phlebitis and extravasation.

Recognize signs of fluid overload and appropriate nursing interventions.

Select appropriate venous access devices for different patient needs and conditions.

Understand procedures for changing dressings and discontinuing IV catheters, including preventing complications post removal.

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Definitions:

Operant Conditioning

A type of learning in which a behavior becomes more likely to recur if followed by a reinforcer or less likely to recur if followed by a punisher.

Respondent Behavior

Behavior that occurs as an automatic response to some stimulus.

Observational Learning

Learning by observing others.

Observational Learning

The process of acquiring new behaviors or knowledge by watching and imitating others, also known as modeling.