[Solved] What is the output of this code?import numpy as np from scipy.linalg import solve A = np.array([[2, 1], [1, 3]]) b = np.array([10, 15]) x = solve(A, b) print(x) | SciPy

SciPy - Linear Algebra (scipy.linalg)

What is the output of this code?

import numpy as np
from scipy.linalg import solve
A = np.array([[2, 1], [1, 3]])
b = np.array([10, 15])
x = solve(A, b)
print(x)

A[4. 3.]

B[3. 4.]

C[2. 5.]

D[5. 2.]

Step-by-Step Solution

Solution:

Step 1: Set up the system of equations
The matrix A and vector b represent the system:
2x + y = 10
x + 3y = 15
Step 2: Solve the system manually
Solving manually:
Multiply first equation by 3: 6x + 3y = 30
Subtract second equation: 5x = 15 -> x = 3
y = 10 - 2*3 = 4
Thus, x = [3. 4.], which matches the output of solve(A, b).
Final Answer:
[3. 4.] -> Option B
Quick Check:
solve(A,b) output = [3. 4.] [OK]

Quick Trick: Trust solve() output for exact numeric solutions. [OK]

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