
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
Given the determinant formula for a $2 \times 2$ matrix $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$, such that the determinant is calculated as $\text{det} = ad - bc$, calculate the value of the determinant for matrix $\begin{pmatrix} 5 & 3 \\ -2 & 4 \end{pmatrix}$.

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