Python Coding challenge - Day 683| What is the output of the following Python Code?

 

1. Import Libraries

import numpy as np

from scipy.linalg import solve

numpy (np) → A library for handling arrays, matrices, and numerical operations.

scipy.linalg.solve → A function from SciPy’s linear algebra module that solves systems of linear equations of the form:

A⋅x=b

where:

A = coefficient matrix

b = constant terms (right-hand side vector)

x = unknown variables

2. Define the Coefficient Matrix

A = np.array([[3, 2], [1, 2]])

This creates a 2×2 matrix:

This matrix represents the coefficients of the variables in the system of equations.

3. Define the Constants (Right-Hand Side)

b = np.array([12, 8])

This creates a column vector:

It represents the values on the right-hand side of the equations.

4. Solve the System

print(solve(A, b))

solve(A, b) finds the solution 

Here it means:

This corresponds to the system of equations:

3x+2y=12

x+2y=8

5. The Output

The program prints:

[4. 2.]

That means:

x=4,y=2

Final Answer (Solution of the system):

[4. 2.]

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