Use the Matrix Capabilities of a Graphing Utility to Find $\left[ \begin{array} { c c c c } 3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12 \\3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12\end{array} \right]$

question 17

Multiple Choice

Use the matrix capabilities of a graphing utility to find the inverse of the matrix $\left[ \begin{array} { c c c c } 3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12 \\3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12\end{array} \right]$ (if it exists) .

• A) \(- \frac { 1 } { 6 } \left[ \begin{array} { c c c c }
• 0 & 3 & 6 & 1 \\
• - 1 & 12 & 0 & 6 \\
• - 3 & 1 & - 9 & 0 \\
• - 3 & - 3 & - 1 & 12
• \end{array} \right]\)
• B) \(- \frac { 1 } { 6 } \left[ \begin{array} { c c c c }
• 0 & - 3 & 9 & 1 \\
• 1 & 12 & 0 & 6 \\
• - 3 & 1 & - 9 & 0 \\
• - 2 & 3 & 1 & - 12
• \end{array} \right]\)
• C) \(\frac { 1 } { 3 } \left[ \begin{array} { c c c c }
• 0 & 3 & 6 & 1 \\
• - 1 & 12 & 0 & 6 \\
• - 3 & 1 & - 9 & 0 \\
• - 3 & - 3 & - 1 & 12
• \end{array} \right]\)
• D) \(- \frac { 1 } { 3 } \left[ \begin{array} { c c c c }
• 0 & - 3 & 9 & 1 \\
• 1 & 12 & 0 & 6 \\
• - 3 & 1 & - 9 & 0 \\
• - 2 & 3 & 1 & - 12
• \end{array} \right]\)
• E)does not exist

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Definitions:

Encoding

The initial learning of information; it is the process of converting sensory input into a form that is able to be processed and stored in the brain.

Factor

A condition or quality that brings about a result—in this case, “intelligent” behavior. A cluster of related items, such as those found on an intelligence or personality test.

Encoding

The initial learning of information; the process of transforming what we perceive, think, or feel into an enduring memory.

Practical Intelligence

The ability to solve everyday problems through the use of experience-based knowledge, rather than theoretical reasoning.