
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
What is the matrix \(\mathbf{N}\) that performs the transformation which sends square \(ABCD\) to square \(A''B''C''D''\)? Consider that \(ABCD\) is first rotated by \(30^\circ\) clockwise and then translated by the vector \(\begin{pmatrix} 2 \\ -1 \end{pmatrix}\).

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