
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 following two propositions:  
Proposition \\(p\\): There exists \\(x \in \mathbb{R}\\) such that \\(x^{2} - ax + 1 = 0\\); Proposition \\(q\\): For all \\(x \in \mathbb{R}\\), \\(x^{2} - 2x + a > 0\\).  
If \\(p \land q\\) is true, find the range of the real number \\(a\\).

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