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Use the Properties of Determinants to Find the Value of the Second

question 67

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Use the properties of determinants to find the value of the second determinant, given the value of the first.
- xyzuvw121=2uvw242xyz=?\left| \begin{array} { c c c } x & y & z \\u & v & w \\1 & - 2 & - 1\end{array} \right| = 2 \quad \left| \begin{array} { c c c } u & v & w \\2 & - 4 & - 2 \\x & y & z\end{array} \right| = ?


Definitions:

Distress-Maintaining

This term refers to behaviors or thought patterns that exacerbate or prolong emotional distress rather than alleviating it.

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The process of explaining one's own or others' behaviors and outcomes as being caused by internal, personal factors.

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External attributions are explanations for a person's behavior that refer to outside causes, such as other people's actions or environmental factors, rather than internal states.

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A theory in social psychology that examines how commitment in relationships is determined by satisfaction, quality of alternatives, and the level of investment one has put into the relationship.

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