Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l } - 2 & 6 \\- 3 & 6\end{array} \right]$$

question 145

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l } - 2 & 6 \\- 3 & 6\end{array} \right]$$

• A)
• \(\left[ \begin{array} { r r } \frac { 1 } { 2 } & - \frac { 1 } { 3 } \\ 1 & - 1 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c } 1 & - 1 \\ \frac { 1 } { 2 } & - \frac { 1 } { 3 } \end{array} \right]\)
• C)
• \(\left[ \begin{array} { c c } 1 & 1 \\ - \frac { 1 } { 2 } & - \frac { 1 } { 3 } \end{array} \right]\)
• D)
• \(\left[\begin{array}{cc}
• -\frac{1}{3} & -1 \\
• \frac{1}{2} & 1
• \end{array}\right]\)

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Definitions:

Compulsions

Repetitive behaviors or mental acts that a person feels driven to perform in response to an obsession or according to rules that must be applied rigidly.

Involuntary Ideas

Thoughts that occur spontaneously without the individual's intention, often uncontrollable and persistent.

Panic Attacks

Sudden, intense surges of fear or discomfort accompanied by physical and psychological symptoms, often occurring abruptly.

Schizophrenia

A major mental disorder defined by significant disturbances in reasoning, emotions, self-perception, communication skills, sense of reality, and actions.