Find the Inverse of the Matrix $\left[ \begin{array} { r r } 1 & - 2 \\ 6 & 2 \end{array} \right]$

question 32

Multiple Choice

Find the inverse of the matrix.
- $\left[ \begin{array} { r r } 1 & - 2 \\ 6 & 2 \end{array} \right]$

• A) \(\left[ \begin{array} { c c } \frac { 1 } { 7 } & \frac { 1 } { 7 } \\ - \frac { 3 } { 7 } & \frac { 1 } { 14 } \end{array} \right]\)
• B) \(\left[ \begin{array} { c c } - \frac { 3 } { 7 } & \frac { 1 } { 14 } \\ \frac { 1 } { 7 } & \frac { 1 } { 7 } \end{array} \right]\)
• C) \(\left[ \begin{array} { c c } \frac { 1 } { 7 } & - \frac { 1 } { 7 } \\ \frac { 3 } { 7 } & \frac { 1 } { 14 } \end{array} \right]\)
• D) \(\left[ \begin{array} { c c } \frac { 1 } { 14 } & \frac { 1 } { 7 } \\ - \frac { 3 } { 7 } & \frac { 1 } { 7 } \end{array} \right]\)

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Definitions:

Alpha Waves

The relatively slow brain waves of a relaxed, awake state.

Beta Waves

A brainwave pattern, typically associated with active, alert cognition and wakefulness.

Delta Waves

Slow brain waves typically associated with deep sleep and important in the consolidation of memory.

Slow-Wave Sleep

A deep sleep stage characterized by low-frequency, high-amplitude brain waves, essential for physical restoration and memory consolidation.