
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 transformation matrix $\mathbf{M}$ that performs the transformation which sends square $ABCD$ to square $A''B''C''D''$, via a $90^\circ$ rotation? Specifically, $A$ goes to $A''$, $B$ goes to $B''$, $C$ goes to $C''$, and $D$ goes to $D''$.

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