Code Explanation:
1. Importing the NumPy Library
import numpy as np
numpy is a powerful Python library for numerical computations.
It provides functions for working with arrays, matrices, and mathematical operations.
np is the commonly used alias for numpy.
2. Creating a Matrix Using NumPy
matrix = np.array([[3, 5, 1],
[4, 6, 2],
[7, 8, 9]])
np.array() is used to create a NumPy array (a matrix in this case).
The matrix is a 3x3 square matrix with three rows and three columns.
3. Understanding Matrix Trace
The trace of a square matrix is the sum of its diagonal elements.
The diagonal elements are the ones where the row index equals the column index (from top-left to bottom-right).
4. Calculating the Trace Using NumPy
trace_value = np.trace(matrix)
np.trace() is a built-in NumPy function that directly calculates the trace of a square matrix.
It efficiently sums the diagonal elements.
5. Printing the Result
print("Trace:", trace_value)
This prints the calculated trace value.
The output will be:
Trace: 18
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