Perform the Indicated Row Operations, Then Write the New Matrix

question 62

Multiple Choice

Perform the indicated row operations, then write the new matrix.
- $$\left[ \begin{array} { r r r | r } 1 & 1 & 1 & - 1 \\- 2 & 3 & 5 & 3 \\3 & 2 & 4 & 1\end{array} \right] \begin{array} { c } 2 R 1 + R 2 \rightarrow R 2 , \\- 3 R 1 + R 3 \rightarrow R 3\end{array}$$

• A)
• \[\left[ \begin{array} { r r r | r }
• 1 & 1 & 1 & - 1 \\
• 0 & 5 & 7 & 1 \\
• 0 & - 1 & 1 & 4
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r | r }
• 1 & 1 & 1 & - 1 \\
• 0 & 5 & 7 & 3 \\
• 0 & - 1 & 1 & 1
• \end{array} \right]\]
• C)\[\left[ \begin{array} { r r r | r }
• 1 & 1 & 1 & - 1 \\
• - 2 & 3 & 5 & 3 \\
• 0 & - 1 & 1 & 1
• \end{array} \right]\]
• D)
• \(\left[ \begin{array} { l l l | r } 1 & 1 & 1 & - 1 \\ 0 & 5 & 7 & 1 \\ 3 & 2 & 4 & 1 \end{array} \right]\)

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Definitions:

Algorithms

A step-by-step procedure or formula for solving a problem or accomplishing a task, often used in computing and mathematics.

Heuristics

Simple, efficient rules, either hard-coded by evolutionary processes or learned, that help in making decisions, forming judgments, and solving problems.

Fixation

An unhealthy focus or attachment to an object, person, or concept, which can interfere with normal psychological development or behavior.

Phonemes

The smallest units of sound in a language that distinguish one word from another.