Find the Determinant of the Matrix, If It Exists $\left[ \begin{array} { l l } \frac { 1 } { 8 } & \frac { 1 } { 4 } \\\\\frac { 3 } { 2 } & 1\end{array} \right]$

question 109

Essay

Find the determinant of the matrix, if it exists. $\left[ \begin{array} { l l } \frac { 1 } { 8 } & \frac { 1 } { 4 } \\\\\frac { 3 } { 2 } & 1\end{array} \right]$

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Definitions:

Marginal Probability

The probability of an event occurring, regardless of the outcomes of other variables; it is calculated by summing the probabilities of the event across all values of the other variables.

E(X + Y)

The expected value of the sum of two random variables, equal to the sum of their individual expected values.

Covariance

A measure that indicates the extent to which two variables change together, but does not indicate the strength of their relationship.

Independent

Not influenced by or dependent on another variable; in statistics, it often means that the occurrence of one event does not affect the probability of another event.