
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 that the linear transformation $T\_1$ is a rotation transformation that rotates counterclockwise by $90^{\circ}$, its corresponding matrix is $M$, and the linear transformation $T\_2$: $\begin{cases} x'=2x \
y'=3y\end{cases}$ has a corresponding matrix of $N$.
(I) Write out the matrices $M$ and $N$;
(II) If line $l$ becomes the line with the equation $y=x$ under the transformation corresponding to the matrix $NM$, find the equation of line $l$.

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