Perform the Elementary Row Operation on the Given Matrix $- 5 R _ { 1 } + R _ { 3 } \rightarrow R _ { 3 }$

question 123

Multiple Choice

Perform the elementary row operation on the given matrix.
- $- 5 R _ { 1 } + R _ { 3 } \rightarrow R _ { 3 }$
$\left[ \begin{array} { r r r | r } 1 & 16 & 5 & 3 \\ 7 & 18 & 5 & 8 \\ 5 & 12 & 9 & 13 \end{array} \right]$

• A) \(\left[ \begin{array} { r r r | r } 1 & 16 & 5 & 3 \\ 2 & - 62 & - 20 & - 7 \\ 5 & 12 & 9 & 13 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r } 1 & 16 & 5 & 3 \\ 7 & 18 & 5 & 8 \\ 0 & - 68 & - 16 & - 2 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 1 & 16 & 5 & 3 \\ 7 & 18 & 5 & 8 \\ 0 & - 68 & - 16 & 16 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 1 & 16 & 5 & 3 \\ 7 & 18 & 5 & 8 \\ 6 & 28 & 14 & 16 \end{array} \right]\)

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Definitions:

Crowd

A temporary gathering of people in a public place; members might interact but do not identify with each other and will not remain in contact.

Aggregate

A collection or sum of many individual elements, items, or variables often used in the context of data analysis or statistics.

Category

A class or division of people or things regarded as having particular shared characteristics or attributes.

Authority

The right or power to enforce rules, judgments, or command influence over others.