Code Explanation:
1. Importing NumPy
import numpy as np
NumPy is a powerful library in Python for working with arrays and mathematical operations. Here, we use it to perform matrix operations.
2. Defining the Matrix
A = np.array([[2, 4], [1, 3]])
We create a 2×2 matrix:
This matrix has two rows and two columns.
3. Computing the Determinant
det_A = np.linalg.det(A)
The determinant of a 2×2 matrix is given by the formula:
det(๐ด)=(๐×๐)−(๐×๐)
For our matrix:
det(A)=(2×3)−(4×1)
=6−4=2
NumPy calculates this using np.linalg.det(A), which gives 2.0 as the result.
4. Rounding the Determinant
print(round(det_A))
Since det_A = 2.0, rounding it doesn’t change the value. So the final output is:
Final Output:
2
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