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What is the issue with this code snippet?

medium📝 Debug Q7 of 15
SciPy - Linear Algebra (scipy.linalg)
What is the issue with this code snippet?
import numpy as np
from scipy.linalg import cholesky
A = np.array([[2, -1], [-1, 2]])
L = cholesky(A)
print(L)
AThe matrix <code>A</code> is not square
BThe import statement for cholesky is incorrect
CMatrix <code>A</code> is not positive definite, causing cholesky to fail
DThe function cholesky requires <code>lower=True</code> parameter
Step-by-Step Solution
Solution:
  1. Step 1: Check matrix properties

    Matrix A must be positive definite for Cholesky decomposition.
  2. Step 2: Verify if A is positive definite

    Matrix A = [[2, -1], [-1, 2]] is positive definite, so no error expected here.
  3. Step 3: Re-examine options

    Actually, A is positive definite, so no error should occur. The code is correct.
  4. Final Answer:

    No issue; code runs correctly -> Option A
  5. Quick Check:

    Check eigenvalues of A are positive [OK]
Quick Trick: Check matrix positive definiteness before cholesky [OK]
Common Mistakes:
MISTAKES
  • Assuming any symmetric matrix is positive definite
  • Forgetting cholesky requires positive definiteness
  • Misinterpreting error messages

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