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Analyze the following code:

medium📝 Debug Q6 of 15
SciPy - Sparse Linear Algebra
Analyze the following code:
from scipy.sparse.linalg import svds
import numpy as np
A = np.array([[1, 2], [3, 4]])
U, s, Vt = svds(A, k=1)

What is the issue with this code?
Asvds cannot compute singular values for 2x2 matrices
BThe parameter k=1 is too large for the matrix size
CThe input matrix A is dense; svds expects a sparse matrix format
DThe import statement for svds is incorrect
Step-by-Step Solution
Solution:
  1. Step 1: Check input matrix type

    The matrix A is a dense NumPy array, not a sparse matrix.
  2. Step 2: svds expects sparse matrices

    svds is designed for sparse matrices (e.g., CSR or CSC format).
  3. Step 3: Fix by converting to sparse

    Convert A to a sparse format like csr_matrix(A) before calling svds.
  4. Final Answer:

    A -> Option C
  5. Quick Check:

    svds requires sparse matrix input [OK]
Quick Trick: svds needs sparse matrix input, not dense [OK]
Common Mistakes:
  • Passing dense arrays directly to svds
  • Assuming svds works with any NumPy array
  • Ignoring the need to convert to sparse format

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