
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
Find the matrix that corresponds to a transformation that combines a dilation with different scale factors for the x-coordinate and y-coordinate, and then rotates the result by $\dfrac{\pi}{4}$ about the origin. Use the scale factor of $-3$ for the x-coordinate and $2$ for the y-coordinate.

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