
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 $EFGH$ by a rotation of 90 degrees clockwise around the origin? Assume that the vertices $A$, $B$, $C$, and $D$ are positioned at $(1, 1)$, $(-1, 1)$, $(-1, -1)$, and $(1, -1)$ respectively.

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