
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An expression in the form of $\left|\begin{array}{l}a&d\\ b&d\end{array}\right|$ is called a second-order determinant. Its operation rule is represented by the formula $\left|\begin{array}{l}a&d\\ b&d\end{array}\right|=ad-bc$. According to this rule, calculate the result of $\left|\begin{array}{c}2&1\\-3&4\end{array}\right|$.

Present the answer in LaTex format: \boxed{Your answer}
user