Solve the System of Equations $$\left\{ \begin{array} { r } x + 3 y - 2 z = 1 \\2 x + 4 y + z = 4 \\2 x + 6 y - z = 2\end{array} \right.$$

question 39

Multiple Choice

Solve the system of equations $$\left\{ \begin{array} { r } x + 3 y - 2 z = 1 \\2 x + 4 y + z = 4 \\2 x + 6 y - z = 2\end{array} \right.$$ by converting to a matrix equation and using its inverse coefficient matrix $\left[ \begin{array} { c c c } \frac { 3 } { 3 } & \frac { 3 } { 2 } & - \frac { 11 } { 6 } \\- \frac { 2 } { 3 } & - \frac { 1 } { 2 } & \frac { 3 } { 6 } \\- \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 }\end{array} \right]$

• A) \(( - 14 , - 3,0 )\)
• B) \(( 2,3,0 )\)
• C) \(( - 8,3,0 )\)
• D) \(( - 8,0,1 )\)
• E) \(( - 6 , - 3,0 )\)

---

Definitions:

Learning

The process of acquiring new understanding, knowledge, behaviors, skills, values, attitudes, or preferences through study, experience, or teaching.

Sensation

Sensation is the process by which our sensory receptors and nervous system receive and represent stimulus energies from our environment.

William James

William James was an influential American philosopher and psychologist, known for his contributions to pragmatism and the psychology of religion, and as the co-founder of functional psychology.

Structuralism

A school of thought in psychology that emphasizes understanding the structure of the mind and its perceptions by analyzing its components.