Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 1 & 4 \\3 & - 2\end{array} \right]$

question 70

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 1 & 4 \\3 & - 2\end{array} \right]$ (if it exists) .

• A) \(- \frac { 1 } { - 10 } \left[ \begin{array} { l l }
• - 2 & - 4 \\
• - 3 & - 1
• \end{array} \right]\)
• B) \(- \frac { 1 } { - 10 } \left[ \begin{array} { c c }
• - 1 & 4 \\
• 3 & - 2
• \end{array} \right]\)
• C) \(\frac { 1 } { - 10 } \left[ \begin{array} { l l }
• - 2 & - 4 \\
• - 3 & - 1
• \end{array} \right]\)
• D) \(\frac { 1 } { - 10 } \left[ \begin{array} { l l }
• 2 & 4 \\
• 3 & 1
• \end{array} \right]\)
• E) does not exist

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Definitions:

Full-Fielding

A method used in electrical engineering to provide maximum voltage to a device's field winding to generate its highest possible output.

Electrical Load

A device or component that consumes electrical power, such as lights, motors, or electronic devices, within an electrical circuit.

Voltage Spikes

Sudden increases in electrical voltage within a circuit, which can potentially cause damage to electronic equipment.

Undercharging

The condition in which a battery or electronic device is not replenished with energy to its full capacity, often leading to decreased performance.