Solve the System by Gauss - Jordan Elimination A) $( - 12 , - 16 , - 30 )$

question 16

Multiple Choice

Solve the system by Gauss - Jordan elimination. $$\left\{ \begin{aligned}\frac { 1 } { 3 } x + \frac { 3 } { 4 } y - \frac { 2 } { 3 } z & = - 4 \\x + \frac { 1 } { 2 } y + \frac { 1 } { 3 } z & = 30 \\\frac { 1 } { 6 } x - \frac { 1 } { 8 } y - z & = - 30\end{aligned} \right.$$

• A) \(( - 12 , - 16 , - 30 )\)
• B) \(( - 12,16 , - 30 )\)
• C) \(( 12,16,30 )\)
• D) \(( 0,16 , - 30 )\)
• E) \(( 12 , - 16,30 )\)

Compute binomial coefficients and understand their properties.

Calculate geometric sequence terms and derive their formulas.

Understand and apply the concept of geometric series to practical problems, including infinite series.

Solve problems involving population growth using exponential functions.

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