
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
Let $\mathbf{D}$ be a matrix representing a dilation with scale factor $k > 0,$ and $\mathbf{S}$ be a matrix representing a skew transformation along the x-axis with parameter $a$. If
\[
\mathbf{S} \mathbf{D} = \begin{pmatrix} 10 & 5 \\ 0 & 10 \end{pmatrix},
\]
then find the skew parameter $a$.

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