Find the Determinant of the Matrix $\left[ \begin{array} { r r } \frac { 1 } { 2 } & 1 \\\\- \frac { 1 } { 2 } & \frac { 3 } { 2 }\end{array} \right]$

question 112

Multiple Choice

Find the determinant of the matrix $\left[ \begin{array} { r r } \frac { 1 } { 2 } & 1 \\\\- \frac { 1 } { 2 } & \frac { 3 } { 2 }\end{array} \right]$ , if it exists

• A) \(\frac { 3 } { 4 }\)
• B) \(5\)
• C) \(- \frac { 5 } { 4 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(\frac { 5 } { 4 }\)

---

Definitions:

Strategy

A comprehensive plan or set of guidelines designed to achieve a particular goal or overcome a challenge, often considering long-term objectives and resources.

Power

The ability or capacity to direct or influence the behavior of others or the course of events.

Greater Power

Refers to the superior ability or authority of an individual or group to influence or control outcomes in their favor.

Controlled Processing System

A cognitive system involving conscious, deliberate thought and attention for complex tasks or decisions.