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What will be the output of the following code snippet?

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SciPy - Sparse Linear Algebra

What will be the output of the following code snippet?

from scipy.sparse.linalg import spilu
import numpy as np

A = np.array([[4,1],[1,3]])
ilu = spilu(A)
print(ilu.solve([1,0]))
A[0.25 -0.08333333]
B[1. 0.]
C[0.2 0.1]
DRuntimeError
Step-by-Step Solution
Solution:
  1. Step 1: Understand spilu and solve

    spilu computes an incomplete LU factorization; solve applies the factorization to a vector.
  2. Step 2: Calculate ilu.solve([1,0])

    spilu requires a sparse matrix input; passing a dense numpy array causes a RuntimeError.
  3. Final Answer:

    RuntimeError -> Option D
  4. Quick Check:

    spilu fails on dense arrays, causing RuntimeError [OK]
Quick Trick: spilu requires sparse matrix input, dense arrays cause error [OK]
Common Mistakes:
  • Expecting exact inverse solution
  • Confusing output with input vector
  • Assuming runtime error due to small matrix

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