Use a Matrix Approach to Solve the System If a System Is Inconsistent, So Indicate

question 16

Short Answer

Use a matrix approach to solve the system. $$\left( \begin{array} { r } x_{1}&+&3 x_{2}&-&x_{3}&+&2 x_{4} & =&-6 \\2 x_{1}&+&4 x_{2}&+&2 x_{3}&-&x_{4} & =&-5 \\-3 x_{1}&-&5 x_{2}&+&3 x_{3}&+&x_{4} & =&7 \\4 x_{1}&+&7 x_{2}&-&2 x_{3}&-&3 x_{4} & =&-8\end{array} \right)$$ If a system is inconsistent, so indicate. In those cases enter inconsistent . Otherwise, enter your answer in the form ( x , y ).

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Definitions:

Personality Theory

A systematic approach to understanding the facets of human personality, including its processes, development, and variations among individuals.

Identity Crisis

A time of doubt and perplexity where an individual's perception of self becomes shaky, often because of an alteration in their societal role or anticipated objectives.

Concept of Motivation

A psychological construct that explains the initiation, direction, intensity, and persistence of behaviors or actions towards achieving a particular goal.

Personal Dispositions

Traits that are peculiar to an individual, as opposed to traits shared by a number of people.