Use Matrices to Solve the System of Equations $\left\{ \begin{array} { l } 3 x + y - 3 z = 2 \\x - 2 y + 4 z = 9 \\x + y + z = 12\end{array} \right.$

question 78

Multiple Choice

Use matrices to solve the system of equations. $\left\{ \begin{array} { l } 3 x + y - 3 z = 2 \\x - 2 y + 4 z = 9 \\x + y + z = 12\end{array} \right.$

• A) \(( 3,5,4 )\)
• B) \(( 4,6,4 )\)
• C) \(( - 3 , - 5 , - 4 )\)
• D) no solution
• E) infinitely many solutions

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Definitions:

Dopamine Overactivity

A condition where there is an excess of dopamine activity in the brain, often associated with disorders such as schizophrenia.

Hallucinations

Sensory experiences that appear real but are created by the mind, without any external presence of the actual stimulus.

Dopamine Receptors

Proteins located on the surface of neurons in the brain that bind to dopamine, a neurotransmitter involved in reward, motivation, and many aspects of behavior.

Hallucinations

Perceptions in the absence of external stimuli, such as seeing, hearing, or feeling something that isn't there.