
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
Compute the matrix product
\[
\begin{pmatrix} 
0 & d & -c \\ 
-d & 0 & b \\ 
c & -b & 0 
\end{pmatrix} 
\begin{pmatrix} 
d^2 & dc & db \\ 
dc & c^2 & cb \\ 
db & cb & b^2 
\end{pmatrix}
\]
where \( a, b, c, \) and \( d \) are real numbers.

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