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 12

Essay

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

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Definitions:

Record

A document or entity that preserves information or data for future reference.

Law of Averages

A layman's term often misused to suggest that a future event is likely to occur to balance out a statistical deviation, though not a formal statistical principle.

Independent Events

Two or more events whose outcomes do not affect each other's probabilities of occurring.

Positive Difference

The result of subtracting a smaller number from a larger number, ensuring a non-negative result.