
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
If the square $WXYZ$ is transformed to $W'X'Y'Z'$ such that $W$ goes to $W'$, and so on, and the transformation involves a 90-degree counter-clockwise rotation followed by mirroring over the x-axis, with a scaling of 2, what is the matrix $\mathbf{N}$ that performs this transformation?

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