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How would you use SciPy to solve the system of equations:

hard📝 Application Q9 of 15
SciPy - Basics and Scientific Computing
How would you use SciPy to solve the system of equations:
x + y = 5
2x - y = 1
Choose the correct code snippet.
Afrom scipy.linalg import solve import numpy as np A = np.array([[1,1],[2,-1]]) b = np.array([5,1]) x = solve(A, b) print(x)
Bfrom scipy.optimize import root x = root([1,1],[2,-1],[5,1]) print(x)
Cimport scipy.linalg x = scipy.linalg.solve([1,1],[2,-1],[5,1]) print(x)
Dfrom scipy.linalg import solve x = solve([1,1],[2,-1],[5,1]) print(x)
Step-by-Step Solution
Solution:
  1. Step 1: Identify correct function and inputs

    scipy.linalg.solve solves linear systems given matrix A and vector b as numpy arrays.
  2. Step 2: Check code correctness

    from scipy.linalg import solve import numpy as np A = np.array([[1,1],[2,-1]]) b = np.array([5,1]) x = solve(A, b) print(x) correctly defines A and b as arrays and calls solve(A, b).
  3. Step 3: Analyze other options

    from scipy.optimize import root x = root([1,1],[2,-1],[5,1]) print(x) misuses root function; Options A and D pass lists instead of arrays or wrong arguments.
  4. Final Answer:

    from scipy.linalg import solve import numpy as np A = np.array([[1,1],[2,-1]]) b = np.array([5,1]) x = solve(A, b) print(x) -> Option A
  5. Quick Check:

    Use solve with numpy arrays for linear systems [OK]
Quick Trick: Use numpy arrays and scipy.linalg.solve for linear systems [OK]
Common Mistakes:
MISTAKES
  • Passing lists instead of arrays
  • Using wrong SciPy module
  • Misusing root instead of solve

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