Find the Inverse, If It Exists $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

question 17

Multiple Choice

Find the inverse, if it exists. $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

• A) \(A ^ { - 1 } = \left( \begin{array} { c c }
• - 26 & 13 \\
• - 5 & 9
• \end{array} \right)\)
• B) \(A ^ { - 1 } = \left( \begin{array} { c c }
• 1 & 9 \\
• 2 & - 1
• \end{array} \right)\)
• C) \(A ^ { - 1 } = \left( \begin{array} { l l }
• - 1 & 5 \\
• - 2 & 1
• \end{array} \right)\)
• D) \(A ^ { - 1 } = \left( \begin{array} { c c }
• 11 & 6 \\
• 13 & - 8
• \end{array} \right)\)
• E) \(\text { The inverse does not exist. }\)

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Definitions:

Carved

The process of using tools to shape or engrave materials such as stone, wood, or ivory into decorative objects or artworks.

Ax-shaped Forms

Artistic or sculptural forms that resemble the shape of an ax, commonly found in various cultures' artifacts.

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An ancient Mesoamerican city located in what is now Mexico, known for its vast size, monumental architecture, and cultural significance.

Monumental Expansion

Significant growth or enlargement in size, scope, or importance, often used to describe architectural projects, empires, or infrastructures.