Find the Matrix Product When Possible $A = \left[ \begin{array} { r r } 1 & - 2 \\ - 5 & 4 \end{array} \right]$

question 314

Multiple Choice

Find the matrix product when possible.
-Given $A = \left[ \begin{array} { r r } 1 & - 2 \\ - 5 & 4 \end{array} \right]$ , find $A ^ { 3 }$ .

• A)
• \(\left[ \begin{array} { r r } 61 & - 62 \\ - 155 & 154 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r } 1 & - 8 \\ - 125 & 64 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r r } 21 & - 6 \\ - 15 & - 6 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r r } 31 & - 77 \\ - 185 & 31 \end{array} \right]\)

---

Definitions:

3-Sigma

A statistical term that refers to three standard deviations away from the mean of a normal distribution, covering 99.7% of all values.

Natural Tolerances

Natural tolerances refer to the inherent variation limits in a manufacturing or production process, dictated by the process capabilities without external influences.

Groove Width

In manufacturing, the measurement of the width of a groove or slot, often critical in precision engineering contexts.

Center Line

In statistical process control, a line on a control chart that represents the average, expected value, or mean of the process being monitored.