Find the Inverse of the Matrix, If It Exists
- $$A = \left[ \begin{array} { l l } 6 & 3 \\3 & 0\end{array} \right]$$

question 17

Multiple Choice

Find the inverse of the matrix, if it exists
- $$A = \left[ \begin{array} { l l } 6 & 3 \\3 & 0\end{array} \right]$$

• A) \[\left[ \begin{array} { c r } 0 & \frac { 1 } { 3 } \\ \frac { 1 } { 3 } & - \frac { 2 } { 3 } \end{array} \right]\]
• B) \(\left[\begin{array}{cc} \frac{1}{3} & -\frac{2}{3} \\ 0 & \frac{1}{3} \end{array}\right]\)
• D) \(\left[\begin{array}{rr} 0 & -\frac{1}{3} \\ -\frac{1}{3} & -\frac{2}{3} \end{array}\right]\)

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Definitions:

Hypothesized Value

A specific value proposed as existing or being true within the context of a statistical hypothesis test.

Null Hypothesis

A default statement that indicates no effect, difference, or relationship between two or more variables in an experiment.

Alternative Hypothesis

The hypothesis that is tested against the null hypothesis, usually representing the notion of a difference or effect.

Type I Error

Erroneously dismissing a true null hypothesis, often called a "false positive."