SciPy - Sparse Linear Algebra
What will be the shape of
U returned by svds when called as U, s, Vt = svds(A, k=2) if A is a 5x4 sparse matrix?What will be the shape of U returned by svds when called as U, s, Vt = svds(A, k=2) if A is a 5x4 sparse matrix?
medium📝 Predict Output Q5 of 15
Step-by-Step Solution
Solution:
Step 1: Recall svds output shapes
For an m x n matrix A, U has shape (m, k), s has length k, and Vt has shape (k, n).Step 2: Apply to given matrix
Given A is 5x4 and k=2, U shape is (5, 2).Final Answer:
(5, 2) -> Option DQuick Check:
U shape = (rows of A, k) [OK]
Quick Trick: U shape = (rows of A, k) always [OK]
Common Mistakes:
- Swapping dimensions of U
- Confusing U with Vt shapes
- Assuming U shape depends on columns
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