Use Matrices and Gauss-Jordan Elimination to Solve Systems
- $$\begin{array} { c } x + y - z + w = - 5 \\3 x - y + 3 z - 2 w = 7 \\- 2 x + 2 y + z - w = 16 \\- x - 2 y - 3 z + 3 w = - 22\end{array}$$

question 99

Multiple Choice

Use Matrices and Gauss-Jordan Elimination to Solve Systems
- $$\begin{array} { c } x + y - z + w = - 5 \\3 x - y + 3 z - 2 w = 7 \\- 2 x + 2 y + z - w = 16 \\- x - 2 y - 3 z + 3 w = - 22\end{array}$$

• A) \(\{ ( - 2,3,4 , - 2 ) \}\)
• B) \(\left\{ \left( - 2 , - 3,5 , \frac { 1 } { 2 } \right) \right\}\)
• C) \(\{ ( 2 , - 3 , - 4 , - 2 ) \}\)
• D) \(\left\{ \left( \frac { 1 } { 2 } , - \frac { 1 } { 3 } , - \frac { 1 } { 4 } , - \frac { 1 } { 2 } \right) \right\}\)

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Definitions:

Null Hypothesis

A hypothesis used in statistics that proposes no statistical significance exists in a set of given observations.

Level Of Significance

The threshold below which a p-value must fall for an effect or difference to be considered statistically significant in hypothesis testing.

P-Values

The probability of observing a statistical summary (e.g., difference in means) as extreme as, or more extreme than, the observed results under the null hypothesis.

P-Value

The probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.