Evaluate $3 \times 3$ Determinant $$\left| \begin{array} { c c c } 5 & - 7 & - 4 \\8 & - 4 & 3 \\3 & 0 & 0\end{array} \right|$$

question 22

Multiple Choice

Evaluate $3 \times 3$ determinant. $$\left| \begin{array} { c c c } 5 & - 7 & - 4 \\8 & - 4 & 3 \\3 & 0 & 0\end{array} \right|$$ Use the properties of determinants to your advantage.

• A) -23
• B) -167
• C) 15

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Definitions:

H Statistic

A measure of statistical significance in the Kruskal-Wallis H test, used to determine if there are differences between two or more groups of an independent variable on a continuous or ordinal dependent variable.

Wilcoxon Signed Rank Test

A non-parametric statistical test used to compare two related samples or repeated measurements on a single sample to assess whether their population mean ranks differ.

Aluminum Concentrations

The amount or level of aluminum present in a given substance, mixture, or environment.

Null Hypothesis

A hypothesis that assumes no significant difference or effect, serving as a default assumption to be tested against experimental data.