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 14

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

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Definitions:

Repression

A defense mechanism where unpleasant thoughts or desires are unconsciously excluded from the conscious mind.

Suppression

Consciously or unconsciously avoiding or holding back thoughts and feelings perceived as unacceptable.

Nonconscious Process

Mental processes that occur outside of human awareness, influencing thoughts, feelings, and behaviors without conscious recognition.

Unconscious Process

Cognitive processes that occur without conscious perception, impacting emotions, thoughts, and actions.