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

question 32

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 1 & 1 \\3 & - 1\end{array} \right]$$

• A) \(\left[ \begin{array} { l l } \frac { 3 } { 4 } & - \frac { 1 } { 4 } \\ \frac { 1 } { 4 } & \frac { 1 } { 4 } \end{array} \right]\)
• В) \(\left[ \begin{array} { r } - \frac { 1 } { 4 } \frac { 1 } { 4 } \\ \frac { 3 } { 4 } \frac { 1 } { 4 } \end{array} \right]\)
• C) \(\left[ \begin{array} { c c } \frac { 1 } { 4 } & \frac { 1 } { 4 } \\ \frac { 3 } { 4 } & - \frac { 1 } { 4 } \end{array} \right]\)
• D) \(\left[ \begin{array} { r } \frac { 1 } { 4 } - \frac { 1 } { 4 } \\ - \frac { 3 } { 4 } - \frac { 1 } { 4 } \end{array} \right]\)

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Definitions:

Non-disturbed Samples

Samples collected from natural or unchanged settings or populations, maintaining their original conditions without human-induced alteration or manipulation.

Face Validity

The extent to which a test appears to measure what it's supposed to measure, based on subjective judgment.

Content Validity

When the content of a test includes a representative sample of behaviours thought to be related to the construct (that is, the concept or entity) the test is designed to measure.

Representative Sample

A portion of the population that represents the entire group accurately.