The function pearsonr_matrix in the hana_ml.algorithms.pal.stats module computes a correlation matrix using Pearson's correlation coefficient for the specified columns of a DataFrame, or all columns if none are specified.
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Here is a Python code template based on the provided documentation:

```python
# Import necessary libraries
from hana_ml.algorithms.pal.stats import pearsonr_matrix
from hana_ml import DataFrame

# Assuming that connection_context is already defined
# Create DataFrame from existing HANA table
data = DataFrame(connection_context, 'MY_TABLE')

# Specify columns to analyze
cols = ['X', 'Y']

# Compute Pearson's correlation coefficient matrix
result = pearsonr_matrix(data=data, cols=cols)

# Print the result
print(result.collect())
```

Please replace `'MY_TABLE'` with your actual HANA table name. If you want to analyze all columns, you can omit the `cols` parameter. Also, ensure that `connection_context` is defined and connected to your HANA instance.