Use Determinants to Identify Inconsistent Systems and Systems with Dependent $$\begin{array} { l } 4 x - y + 2 z = 1 \\3 x + 5 y - z = 0 \\- 6 x - 10 y + 2 z = 0\end{array}$$

question 13

Multiple Choice

Use Determinants to Identify Inconsistent Systems and Systems with Dependent Equations
- $$\begin{array} { l } 4 x - y + 2 z = 1 \\3 x + 5 y - z = 0 \\- 6 x - 10 y + 2 z = 0\end{array}$$

• A) system contains dependent equations
• B) system is inconsistent

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Definitions:

Cooperative Task

A task designed to be completed by two or more individuals working together toward a common goal.

Dominant

Characterized by being the most powerful, influential, or prominent in a group or situation.

Control Theory

A theoretical framework suggesting that behavior is regulated by feedback mechanisms to reduce discrepancies between goals and actual states.

Attribution Theory

A theoretical framework understanding how individuals interpret events and how this relates to their thinking and behavior, by attributing causes to behaviors or outcomes.