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 8

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) . ​​ $$\left[ \begin{array} { l l } 2 & 3 \\1 & 5\end{array} \right]$$ ​

• A)​ \[\frac { 1 } { 7 } \left[ \begin{array} { l l }
• 5 & 3 \\
• 1 & 2
• \end{array} \right]\]
• B)​ \[\frac { 1 } { 7 } \left[ \begin{array} { c c }
• - 5 & - 3 \\
• 1 & 2
• \end{array} \right]\]
• C)​ \[\frac { 1 } { 7 } \left[ \begin{array} { c c }
• - 5 & 3 \\
• 1 & - 2
• \end{array} \right]\]
• D)​ \[\frac { 1 } { 7 } \left[ \begin{array} { c c }
• 5 & - 3 \\
• - 1 & 2
• \end{array} \right]\]
• E)​ \[\frac { 1 } { 7 } \left[ \begin{array} { l l }
• - 5 & - 3 \\
• - 1 & - 2
• \end{array} \right]\]

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Definitions:

Synapses

The junctions between neurons through which nerve impulses pass, allowing for communication between the cells.

Neurotransmitters

Chemical messengers that transmit signals across a chemical synapse from one neuron (nerve cell) to another target neuron.

Action Potential

A temporary reversal of an electrically charged membrane potential in neurons or muscle cells, facilitating signal transmission.

Neural Impulse

The electrical signal transmitted along a neuron that allows for communication between neurons in the brain and nervous system.