Find the Inverse of the Matrix (If It Exists) $$\left[ \begin{array} { l l } 3 & 0 \\0 & 4\end{array} \right]$$

question 14

Multiple Choice

Find the inverse of the matrix (if it exists) .​ $$\left[ \begin{array} { l l } 3 & 0 \\0 & 4\end{array} \right]$$ ​

• A)​ \[\left[ \begin{array} { l l }
• \frac { 1 } { 4 } & 0 \\
• 0 & \frac { 1 } { 4 }
• \end{array} \right]\]
• B)​ \[\left[ \begin{array} { l l }
• \frac { 1 } { 4 } & 0 \\
• 0 & 0
• \end{array} \right]\]
• C)​ \[\left[ \begin{array} { c c }
• 0 & \frac { 1 } { 4 } \\
• \frac { 1 } { 4 } & 0
• \end{array} \right]\]
• D)​ \[\left[ \begin{array} { l l }
• \frac { 1 } { 4 } & 0 \\
• 0 & \frac { 1 } { 3 }
• \end{array} \right]\]
• E)​ \[\left[ \begin{array} { l l }
• \frac { 1 } { 3 } & 0 \\
• 0 & \frac { 1 } { 4 }
• \end{array} \right]\]

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Definitions:

Confidence Interval

A spectrum of values obtained from sample data, expected to encompass an unknown parameter of the entire population with a certain degree of assurance.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Confidence Interval

An estimated range of values which is likely to include an unknown population parameter, calculated from a given set of sample data.

Margin of Error

An expression of the amount of random sampling error in a survey's results, indicating a range within which the true value lies at a certain confidence level.