If $A = \left[ \begin{array} { c c c } 2 & 0 & - 1 \\8 & 7 & 5\end{array} \right]$

question 68

Multiple Choice

If $A = \left[ \begin{array} { c c c } 2 & 0 & - 1 \\8 & 7 & 5\end{array} \right]$ , then find $3 A ^ { T }$ .

• A) \(\left[ \begin{array} { c c c }
• \frac { 3 } { 2 } & 0 & - \frac { 1 } { 3 } \\
• \frac { 3 } { 8 } & \frac { 1 } { 2 } & \frac { 3 } { 5 }
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c }
• - 3 & 15 \\
• 0 & 21 \\
• 6 & 24
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c }
• 6 & 24 \\
• 0 & 21 \\
• - 3 & 15
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• \frac { 3 } { 2 } & 0 & - \frac { 1 } { 3 } \\
• \frac { 3 } { 8 } & \frac { 3 } { 7 } & \frac { 3 } { 5 }
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c }
• 24 & 6 \\
• 21 & 0 \\
• 15 & - 3
• \end{array} \right]\)

---

Definitions:

Skewed

A description of the asymmetry in the probability distribution of a real-valued random variable, where the tail of the distribution is longer on either the right (positively skewed) or the left (negatively skewed) side.

Sample Mean

The average value of a set of data points collected from a sample of a population.

Median

The middle value of a data set when it is ordered from least to greatest, effectively splitting the data set into two equal parts.

Sample Variance

A measure of the variability or spread of a sample data set, calculated as the average of the squared differences from the sample mean.