Use the Matrix Capabilities of a Graphing Utility to Find $\frac { 1 } { 9 } \left[ \begin{array} { c c c } - 4 & - 5 & 3 \\- 4 & - 8 & 3 \\1 & 2 & 0\end{array} \right]$

question 29

Multiple Choice

Use the matrix capabilities of a graphing utility to find the inverse of the matrix $\frac { 1 } { 9 } \left[ \begin{array} { c c c } - 4 & - 5 & 3 \\- 4 & - 8 & 3 \\1 & 2 & 0\end{array} \right]$ (if it exists) .

• A) \(\left[ \begin{array} { c c c }
• 3 & 3 & 9 \\
• 0 & - 3 & 0 \\
• 0 & 6 & 12
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• - 9 & 12 & 6 \\
• 0 & - 3 & 0 \\
• 0 & 3 & - 9
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• - 6 & 0 & 9 \\
• 0 & - 3 & 0 \\
• 0 & 3 & - 6
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• - 6 & 6 & 9 \\
• 3 & - 3 & 0 \\
• 0 & 3 & 12
• \end{array} \right]\)
• E)does not exist

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Definitions:

Group dynamics

The study of the behavioral interactions and psychological processes occurring within a social group.

Patterns of interaction

The regular and predictable ways in which people interact and behave towards each other within a society or group.

In-group solidarity

The sense of unity, loyalty, and support among members of a particular group, which distinguishes them from members of other groups.

Contagion

The transmission or spread of an infectious disease or, metaphorically, ideas, emotions, or behaviors from one person to another.