Choose the One Alternative That Best Completes the Statement or Answers

question 117

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the given system.
-
x + 3 y + 5 z = - 3
- 5 y + 3 z = - 8
- 8 z = - 6

• A) \( \left[\begin{array}{rrr|r}
• 1 & 3 & 5 & -3 \\
• 0 & -5 & 3 & -8 \\
• 1 & 0 & -8 & -6
• \end{array}\right] \)
• B)\( \left[\begin{array}{rrr|r}
• 1 & 3 & 5 & -3 \\
• 0 & -5 & 3 & -8 \\
• 1 & 1 & -8 & -6
• \end{array}\right] \)
• C)\( \left[\begin{array}{rrr|r}
• 1 & 3 & 5 & -3 \\
• 1 & -5 & 3 & -8 \\
• 1 & 1 & -8 & -6
• \end{array}\right] \)
• D)\( \left[\begin{array}{rrr|r}
• 1 & 3 & 5 & -3 \\
• 0 & -5 & 3 & -8 \\
• 0& 0 & -8 & -6
• \end{array}\right] \)

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Definitions:

Abstraction

The process of reducing complexity by focusing on the main aspects while ignoring irrelevant details.

Genus

In biology, a principal taxonomic category that ranks above species and below family, grouping species that are structurally similar.

Genus

The broad classification under which species are grouped based on shared features or ancestry, emphasizing a different aspect.

Differentia

The trait or set of traits that distinguish one species from another within a genus or one entity or concept from another within a classification.