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

question 200

Short Answer

Use a matrix approach to solve the system. $$\left( \begin{array} { l } x_{1}&-&4 x_{2}&-&3 x_{3}&+&x_{4} & =&10 \\-3 x_{1}&+&3 x_{2}&+&x_{3}&-&3 x_{4} & =&-5 \\4 x_{1}&-&3 x_{2}&-&4 x_{3}&+&4 x_{4} & =&11 \\7 x_{1}&+&x_{2}&+&6 x_{3}&-&3 x_{4} & =&-33\end{array} \right)$$ If a system is inconsistent, so indicate. In those cases enter inconsistent . Otherwise, enter your answer in the form ( x , y ).

---

Definitions:

Group-Aided Decision Making

The process where decision-making is carried out with the input and consensus of a group, rather than by an individual, to enhance the quality of decisions.

Logrolling

A practice in politics and organizational settings where individuals exchange favors or support for mutual benefit, often seen as a form of reciprocity.

Greater Pool Of Knowledge

A greater pool of knowledge signifies an enlarged repository of information and expertise, often achieved through collective learning and collaboration.

Four-Step Problem-Solving Process

A methodical approach involving identifying a problem, generating solutions, selecting a solution, and implementing and evaluating the solution.