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Which of the following code snippets correctly computes the Cholesky decomposition of matrix A using scipy?

easy📝 Syntax Q3 of 15
SciPy - Linear Algebra (scipy.linalg)
Which of the following code snippets correctly computes the Cholesky decomposition of matrix A using scipy?
A<pre>from scipy.linalg import cholesky L = cholesky(A, lower=True)</pre>
B<pre>import scipy.linalg L = scipy.linalg.cholesky(A, upper=True)</pre>
C<pre>from scipy.linalg import cholesky L = cholesky(A, transpose=True)</pre>
D<pre>import scipy.linalg L = scipy.linalg.cholesky(A, inverse=True)</pre>
Step-by-Step Solution
Solution:
  1. Step 1: Import cholesky function

    Use from scipy.linalg import cholesky for direct access.
  2. Step 2: Use correct parameters

    lower=True returns the lower triangular matrix L.
  3. Step 3: Verify other options

    Options C and D use invalid parameters; B uses upper=True which is valid but not the preferred syntax here.
  4. Final Answer:

    from scipy.linalg import cholesky L = cholesky(A, lower=True) -> Option A
  5. Quick Check:

    Check if L is lower triangular [OK]
Quick Trick: Use cholesky(A, lower=True) for lower matrix [OK]
Common Mistakes:
MISTAKES
  • Using invalid parameters like transpose or inverse
  • Confusing upper and lower triangular options
  • Not importing cholesky correctly

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