Given And $c = - 4$ , Determine $c A B ^ { 2 }$

question 26

Multiple Choice

Given:
$A = \left[ \begin{array} { r r r } - 7 & 3 & - 2 \\ - 6 & 6 & 5 \end{array} \right] , B = \left[ \begin{array} { r r r } 3 & - 6 & 5 \\ - 3 & 1 & 7 \end{array} \right]$ and $c = - 4$ , determine $c A B ^ { 2 }$ .

• A) \(\left[ \begin{array} { r r } 20 & - 1148 \\ 632 & - 788 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } - 1764 & - 1296 & - 400 \\ - 1296 & - 144 & - 4900 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r } 252 & - 432 & 200 \\ 216 & - 24 & - 980 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } 468 & 1032 & 1876 \\ - 324 & - 456 & - 1476 \\ - 108 & 268 & - 780 \end{array} \right]\)
• E) not possible

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Definitions:

Realistic Scenario

A scenario grounded in reality, plausible and possible under current conditions, used for planning or analysis.

Landau Commission

A specific commission, potentially referring to a historical or organizational body, tasked with investigating or addressing particular issues. (Without further context, its specific mandate or origin cannot be precisely defined).

Consequentialist

A philosophy which judges the rightness or wrongness of an action based on the outcomes or consequences it produces.

Deontologist

An ethicist or philosopher who believes in deontology, a theory which asserts that the morality of an action is based on whether that action itself is right or wrong under a series of rules, rather than based on the consequences of the action.