
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 a 2x2 matrix $\begin{pmatrix} 5 & 3 \\ 7 & 2 \end{pmatrix}$, what is the value of the determinant of this matrix raised to the second power, i.e., $(\text{det}(A))^2$?
A) 144
B) 121
C) 169
D) 196

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