Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

question 387

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

• A)
• \[\left[ \begin{array} { l l l }
• - 1 & - 3 & - 2 \\
• - 1 & - 3 & - 3 \\
• - 2 & - 7 & - 8
• \end{array} \right]\]
• B) The inverse does not exist.
• C)
• \[\left[ \begin{array} { r r r }
• - 3 & 10 & - 3 \\
• 2 & - 4 & 1 \\
• - 1 & 1 & 0
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c c }
• 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \\
• 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\
• \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 }
• \end{array} \right]\]

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Definitions:

Prejudice

A preconceived opinion or bias against an individual or group based on characteristics such as race, gender, or religion.

Friendly Competition

A competition where the participants are motivated by enjoyment and improvement rather than winning, often emphasizing goodwill and sportsmanship.

Common Goal

A shared objective or aim among a group of individuals or within an organization.

Implicit Association Test (IAT)

A psychological test designed to reveal underlying prejudices and stereotypes by measuring the speed of associations between concepts.