Find the Inverse of the Matrix $$\left[ \begin{array} { r r } 2 & 5 \\- 5 & - 3\end{array} \right]$$

question 136

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 2 & 5 \\- 5 & - 3\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } - \frac { 3 } { 19 } & - \frac { 5 } { 19 } \\ \frac { 5 } { 19 } & \frac { 2 } { 19 } \end{array} \right]\)
• В) \(\left[ \begin{array} { c c } - \frac { 3 } { 19 } & \frac { 5 } { 19 } \\ - \frac { 5 } { 19 } & \frac { 2 } { 19 } \end{array} \right]\)
• C) \(\left[ \begin{array} { l } \frac { 2 } { 19 } - \frac { 5 } { 19 } \\ \frac { 5 } { 19 } - \frac { 3 } { 19 } \end{array} \right]\)
• D) \(\left[ \begin{array} { c c } \frac { 5 } { 19 } & \frac { 2 } { 19 } \\ - \frac { 3 } { 19 } & - \frac { 5 } { 19 } \end{array} \right]\)

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Definitions:

Intuition

The capacity to grasp something naturally, without relying on deliberate thought.

Undramatically

In a manner that lacks excitement, drama, or noticeable impact.

Belief Perseverance

The tendency to maintain one’s beliefs even in the face of evidence that contradicts them.

Framing Effect

A cognitive bias where people react differently based on how choices are presented to them, often affecting decision-making.