Gaussian_elemination - change to remove warning

[quant12345]

Describe your change:

Contributes to #9718.

before: x[row, 0] = (vector[row] - total) / coefficients[row, row]

after: x[row, 0] = (vector[row][0] - total[0]) / coefficients[row, row]

Remove warning:

arithmetic_analysis/gaussian_elimination.py: 10 warnings
 /home/runner/work/Python/Python/arithmetic_analysis/gaussian_elimination.py:37: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
x[row, 0] = (vector[row] - total) / coefficients[row, row]

• Add an algorithm?
• Fix a bug or typo in an existing algorithm?
• Documentation change?

Checklist:

• I have read CONTRIBUTING.md.
• This pull request is all my own work -- I have not plagiarized.
• I know that pull requests will not be merged if they fail the automated tests.
• This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
• All new Python files are placed inside an existing directory.
• All filenames are in all lowercase characters with no spaces or dashes.
• All functions and variable names follow Python naming conventions.
• All function parameters and return values are annotated with Python type hints.
• All functions have doctests that pass the automated testing.
• All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
• If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: " #ISSUE-NUMBER - Speedup our eight slowest pytests (one at a time please) #9718".

[tianyizheng02]

Can confirm that this resolves the warnings:

================= 1583 passed, 15 warnings in 61.64s (0:01:01) =================

=============================== warnings summary ===============================
../../../../../opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/dateutil/tz/tz.py:37
  /opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/dateutil/tz/tz.py:37: DeprecationWarning: datetime.datetime.utcfromtimestamp() is deprecated and scheduled for removal in a future version. Use timezone-aware objects to represent datetimes in UTC: datetime.datetime.fromtimestamp(timestamp, datetime.UTC).
    EPOCH = datetime.datetime.utcfromtimestamp(0)

machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
  /home/runner/work/Python/Python/machine_learning/k_means_clust.py:236: FutureWarning: The provided callable <function sum at 0x7f241a74f4c0> is currently using SeriesGroupBy.sum. In a future version of pandas, the provided callable will be used directly. To keep current behavior pass the string "sum" instead.
    .agg(

machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
machine_learning/k_means_clust.py::machine_learning.k_means_clust.report_generator
  /home/runner/work/Python/Python/machine_learning/k_means_clust.py:236: FutureWarning: The provided callable <function mean at 0x7f241a7605e0> is currently using SeriesGroupBy.mean. In a future version of pandas, the provided callable will be used directly. To keep current behavior pass the string "mean" instead.
    .agg(

neural_network/2_hidden_layers_neural_network.py::neural_network.2_hidden_layers_neural_network.TwoHiddenLayerNeuralNetwork.predict
neural_network/2_hidden_layers_neural_network.py::neural_network.2_hidden_layers_neural_network.example
  /home/runner/work/Python/Python/neural_network/2_hidden_layers_neural_network.py:224: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
    return int(self.layer_between_second_hidden_layer_and_output > 0.6)

-- Docs: https://docs.pytest.org/en/stable/how-to/capture-warnings.html

[tianyizheng02]

Thanks for the fix!

[quant12345]

@tianyizheng02 thank you too.