Use Matrices to Solve the System of Equations (If Possible)

question 8

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $$\left\{ \begin{aligned}x - 4 y + 3 z - 2 w & = 10 \\3 x - 2 y + z - 4 w & = - 22 \\- 4 x + 3 y - 2 z + w & = - 2 \\- 2 x + y - 4 z + 3 w & = - 10\end{aligned} \right.$$

• A) (-2, -1, 8, 6)
• B)(-2, 0, 8, 6)
• C)(-2, 0, 8, -6)
• D) (-2, -1, -8, -6)
• E)(-2, 0, -8, 6)

---

Definitions:

Personality

The unique and relatively stable ways in which people think, feel, and behave.

Schizophrenic

A term related to schizophrenia, a mental disorder characterized by disruptions in thought processes, perceptions, emotional responsiveness, and social interactions.

Dissociative

Pertaining to a disruption or disconnection of consciousness, memory, identity, or perception of the environment.

Dr. Jekyll and Mr. Hyde

A metaphor derived from Robert Louis Stevenson's classic story, symbolizing the duality of human nature.