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What is the error in this code snippet?

medium📝 Debug Q14 of 15
SciPy - Linear Algebra (scipy.linalg)
What is the error in this code snippet?
import numpy as np
from scipy.linalg import cholesky
A = np.array([[1, 2], [3, 4]])
L = cholesky(A, lower=True)
AParameter 'lower' is invalid in cholesky.
BMissing import for numpy.linalg.
CMatrix A must be integer type.
DMatrix A is not symmetric positive definite, so cholesky fails.
Step-by-Step Solution
Solution:
  1. Step 1: Check matrix properties

    Matrix A = [[1,2],[3,4]] is not symmetric (A != A.T) and not positive definite.
  2. Step 2: Understand cholesky requirements

    Cholesky decomposition requires symmetric positive definite matrices; otherwise, it raises an error.
  3. Final Answer:

    Matrix A is not symmetric positive definite, so cholesky fails. -> Option D
  4. Quick Check:

    Cholesky needs symmetric positive definite matrix [OK]
Quick Trick: Check matrix symmetry and positive definiteness before cholesky [OK]
Common Mistakes:
MISTAKES
  • Ignoring matrix symmetry requirement
  • Assuming any matrix works
  • Misunderstanding parameter names

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