Use Cramer's Rule Along with a Graphing Utility to Solve

question 2

Multiple Choice

Use Cramer's rule along with a graphing utility to solve the system. $$\left\{ \begin{aligned}2 A - B - 3 C + 2 D = & - 4 \\A - 2 B + C - 3 D = & 8 \\3 A - 4 B + 2 C - 4 D = & 24 \\2 A + 3 B - C - 2 D = & - 8\end{aligned} \right.$$

• A) \(( 4,2,6,0 )\)
• B) \(( 4 , - 2,6,0 )\)
• C) \(( - 4,2 , - 6 , - 2 )\)
• D) \(( 4 , - 2,6,2 )\)
• E) \(\text { The system is inconsistent. }\)

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Definitions:

Chi-Squared Test

A statistical test used to determine if a significant relationship exists between two categorical variables by comparing observed and expected frequencies.

Contingency Table

A table used in statistics to summarize the distribution of two categorical variables, showing the frequency at which certain combinations of the variables occur.

Alternative Hypothesis

The hypothesis that there is a significant difference between groups or conditions, as opposed to the null hypothesis.

Contingency Table

A contingency table is a type of table in a matrix format that displays the frequency distribution of the variables.