Use the Inverse Formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$

question 44

Multiple Choice

Use the inverse formula $$A ^ { - 1 } = \frac { 1 } { a d - b c } \left[ \begin{array} { c c } d & - b \\- c & a\end{array} \right]$$ to find the inverse of the 2×2 matrix (if it exists) . ​​ $$\left[ \begin{array} { c c } - 12 & 3 \\5 & 2\end{array} \right]$$ ​

• A)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• 2 & - 3 \\
• - 5 & - 12
• \end{array} \right]\]
• B)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• - 2 & - 3 \\
• 5 & 12
• \end{array} \right]\]
• C)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• - 2 & 3 \\
• 5 & - 12
• \end{array} \right]\]
• D)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { c c }
• 2 & - 3 \\
• 5 & 12
• \end{array} \right]\]
• E)​ \[- \frac { 1 } { 39 } \left[ \begin{array} { l l }
• - 2 & - 3 \\
• - 5 & - 12
• \end{array} \right]\]

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Definitions:

Slack Adjusters

Mechanical devices in air brake systems that maintain the correct distance between the brake shoes and the drum as the shoes wear.

Secondary Circuit

In brake systems refers to the following circuit in the system usually actuated by the primary circuit. In hydraulic brake systems on straight trucks, this is usually the rear brake circuit, whereas on large trucks with air brakes, it refers to the brakes on the steering axle wheels.

Relay Valve

A component in pneumatic systems that speeds up the build-up and release of air pressure in brake systems, ensuring faster response times.

Tractor Drive Axle Brakes

These are the braking systems specifically designed for the drive axles of a tractor, playing a critical role in the overall braking performance and safety of the vehicle.