Find the Inverse Matrix of A $$A = \left[ \begin{array} { r r r r } 3 & - 2 & 0 & 2 \\9 & - 4 & 0 & 4 \\6 & - 8 & 0 & 6 \\0 & 0 & - 3 & 0\end{array} \right]$$

question 4

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { r r r r } 3 & - 2 & 0 & 2 \\9 & - 4 & 0 & 4 \\6 & - 8 & 0 & 6 \\0 & 0 & - 3 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c c c }
• \frac { 1 } { 3 } & - \frac { 1 } { 2 } & 0 & \frac { 1 } { 2 } \\
• \frac { 1 } { 9 } & - \frac { 1 } { 4 } & 0 & \frac { 1 } { 4 } \\
• \frac { 1 } { 6 } & - \frac { 1 } { 8 } & 0 & \frac { 1 } { 6 } \\
• 0 & 0 & - \frac { 1 } { 3 } & 0
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r r }
• - \frac { 2 } { 3 } & \frac { 5 } { 2 } & 0 & 4 \\
• \frac { 1 } { 3 } & - \frac { 1 } { 2 } & 0 & - 1 \\
• 0 & - \frac { 1 } { 2 } & 0 & - \frac { 1 } { 2 } \\
• 0 & 0 & - \frac { 1 } { 3 } & 0
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r r }
• - \frac { 2 } { 3 } & \frac { 5 } { 2 } & 0 & 4 \\
• \frac { 1 } { 3 } & - \frac { 1 } { 2 } & - 1 & - 1 \\
• 0 & - \frac { 1 } { 2 } & 0 & - \frac { 1 } { 2 } \\
• 0 & 2 & - \frac { 1 } { 3 } & 0
• \end{array} \right]\]
• D)
• \(\left[\begin{array}{rrrr}
• -\frac{2}{3} & \frac{1}{3} & 0 & 0 \\
• \frac{5}{2} & -\frac{1}{2} & -\frac{1}{2} & 0 \\
• 0 & 0 & 0 & -\frac{1}{3} \\
• 4 & -1 & -\frac{1}{2} & 0
• \end{array}\right]\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Grapefruit

A citrus fruit known for its slightly bitter taste and numerous health benefits, often used in diets and cooking.

Equilibrium

A state in a market where supply equals demand, conditions are stable, and there is no incentive for prices to change, leading to a balance between competing forces.

Equilibrium Price

The market price at which the quantity of goods supplied is equal to the quantity of goods demanded.

Equilibrium

In economics, a state where market supply and demand balance each other, and as a result, prices become stable.