Use Matrices to Solve the System of Equations $\left\{ \begin{array} { l } 3 x + y - 3 z = - 5 \\x - 2 y + 4 z = 21 \\x + y + z = 9\end{array} \right.$

question 24

Essay

Use matrices to solve the system of equations. If the equations of the system are dependent, or if the system is inconsistent, so indicate. $\left\{ \begin{array} { l } 3 x + y - 3 z = - 5 \\x - 2 y + 4 z = 21 \\x + y + z = 9\end{array} \right.$

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Definitions:

Mood-stabilizing Drug

Medications used to treat mood disorders that help regulate and stabilize emotional states, preventing extreme shifts in mood.

Lithium

A chemical element used as a medication to treat mood disorders such as bipolar disorder by stabilizing mood swings.

Bipolar Disorder

A psychological disorder marked by severe fluctuations in mood, ranging from manic or hypomanic episodes to depressive lows.

Psychosurgery

Surgical procedures that modify brain tissue in order to alleviate psychological disorders or behavioral problems.