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You run the following code but get an error:

medium📝 Debug Q14 of 15
SciPy - Sparse Linear Algebra
You run the following code but get an error:
from scipy.sparse import csc_matrix
from scipy.sparse.linalg import splu

A = csc_matrix([[0, 0], [0, 0]])
lu = splu(A)

What is the most likely cause of the error?
AMatrix A is singular and cannot be factorized
Bcsc_matrix does not support splu factorization
Csplu requires a dense matrix, not sparse
DThe matrix size is too small for splu
Step-by-Step Solution
Solution:
  1. Step 1: Analyze matrix A

    A is a zero matrix, which means it is singular (no inverse exists).
  2. Step 2: Understand splu requirements

    splu cannot factorize singular matrices because LU decomposition requires invertibility.
  3. Final Answer:

    Matrix A is singular and cannot be factorized -> Option A
  4. Quick Check:

    Singular matrix causes splu error [OK]
Quick Trick: Check if matrix is singular before splu [OK]
Common Mistakes:
  • Thinking splu only works on dense matrices
  • Assuming csc_matrix is incompatible
  • Believing matrix size limits splu

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