Find the Determinant of the Matrix $\left[ \begin{array} { c c } - \frac { 1 } { 6 } & - \frac { 1 } { 2 } \\ - 1 & - \frac { 4 } { 5 } \end{array} \right]$

question 53

Multiple Choice

Find the determinant of the matrix $\left[ \begin{array} { c c } - \frac { 1 } { 6 } & - \frac { 1 } { 2 } \\ - 1 & - \frac { 4 } { 5 } \end{array} \right]$ .

• A) \(- \frac { 7 } { 30 }\)
• B) \(\frac { 19 } { 30 }\)
• C) \(\frac { 1 } { 24 }\)
• D) \(- \frac { 11 } { 30 }\)
• E) \(\frac { 7 } { 24 }\)

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Definitions:

Fluid Intelligence

The aspect of intelligence involving the ability to reason quickly and to think abstractly, often considered independent of learning, experience, and education.

Crystallized Intelligence

The ability to use learned knowledge and experience in problem-solving; it typically increases with age.

Abstractly

Thinking in a way that is not concrete or specific, but involves concepts and ideas without physical reference.

Age

A measure of the time an individual or object has existed, often expressed in years.