Use the Given Row Transformation to Change the Matrix as Indicated

question 315

Multiple Choice

Use the given row transformation to change the matrix as indicated.
- $\left[ \begin{array} { r r r } 6 & 5 & 18 \\ 5 & - 2 & 7 \\ 1 & 2 & 3 \end{array} \right] ; - 6$ times row 3 added to row 1

• A)
• \(\left[ \begin{array} { r r r } 6 & 5 & 18 \\ - 1 & - 14 & - 11 \\ - 6 & - 12 & - 18 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r } 7 & 7 & 0 \\ 5 & - 2 & 7 \\ 1 & 2 & 3 \end{array} \right]\)
• C)
• \(\left[\begin{array}{rrr}
• 0 & -7 & 0 \\
• 5 & -2 & 7 \\
• 1 & 2 & 3
• \end{array}\right]\)
• D)
• \(\left[\begin{array}{rrr}
• 6 & 5 & 1 \\
• 5 & -2 & 7 \\
• -6 & -12 & -18
• \end{array}\right]\)

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Definitions:

Utilitarianism

An ethical theory that posits the greatest happiness of the greatest number should be the guiding principle of conduct.

Compel Citizens

Enforcing or obliging citizens to follow certain laws, regulations, or directives through legal or authoritative means.

Medical Tests

Procedures and examinations conducted to determine the presence of disease or monitor health conditions.

Rule Utilitarian

A form of utilitarianism that evaluates the moral correctness of an action based on rules that, if universally followed, would lead to the greatest good for the greatest number.