Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l l } 7 & - 5 & 2 \\14 & - 9 & 4 \\7 & - 4 & 2\end{array} \right]$$

question 189

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l l } 7 & - 5 & 2 \\14 & - 9 & 4 \\7 & - 4 & 2\end{array} \right]$$

• A) The inverse does not exist.
• B)
• \[\left[ \begin{array} { l l l }
• 7 & 14 & 7 \\
• - 5 & - 9 & - 4 \\
• 2 & 4 & 2
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { l l l }
• \frac { 1 } { 7 } & \frac { 1 } { 7 } & - \frac { 5 } { 2 } \\
• \frac { 1 } { 2 } & \frac { 10 } { 9 } & \frac { 7 } { 4 } \\
• 1 & - \frac { 1 } { 2 } & \frac { 1 } { 2 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c c }
• \frac { 1 } { 7 } & \frac { 1 } { 14 } & \frac { 1 } { 2 } \\
• \frac { 1 } { 14 } & - \frac { 1 } { 9 } & \frac { 1 } { 4 } \\
• \frac { 1 } { 7 } & - \frac { 1 } { 4 } & \frac { 1 } { 2 }
• \end{array} \right]\]

---

Definitions:

Revenue Analysis

The process of reviewing and analyzing a company's income from its operations to understand the sources of its income and how it is generated.

Internal Weaknesses

Flaws or limitations within an organization that can impede its effectiveness or competitiveness.

Competitive Intelligence

The systematic gathering, analysis, and application of information about competitors, market trends, and the external business environment to support strategic decision-making.

Legal and Ethical

Refers to practices and decisions that are both within the bounds of law and morally upright, often applied in business and professional settings.