Use Row Reduction to Find the Inverse of the Given $\left[ \begin{array} { l l } 3 & 1 \\5 & 2\end{array} \right]$

question 144

Multiple Choice

Use row reduction to find the inverse of the given matrix, if it exists. Check your answers by multiplication.
$\left[ \begin{array} { l l } 3 & 1 \\5 & 2\end{array} \right]$

• A) \(\left[ \begin{array} { c c }
• 2 & - 1 \\
• - 5 & 3
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c }
• - 3 & 1 \\
• 5 & - 2
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c }
• 2 & 5 \\
• - 1 & 3
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 2 & 5
• \end{array} \right]\)
• E) The inverse matrix does not exist.

---

Definitions:

Multicultural Organization

An organization that incorporates and respects a variety of cultural perspectives, practices, and contributions in its operations and strategies.

Culture-Group Biases

The tendency to interpret and judge peoples' behaviors, cultures, or ideas from one's own cultural perspective, leading to bias.

Ethnocentrism

The tendency to view one's own culture as superior and to judge other cultures based on the standards of one's own.

Membership Group

A collection of individuals who formally belong to an identified group or organization, sharing certain objectives or characteristics.