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You want to solve Ax = b where A is a sparse matrix but not square (e.g., 3x2). What will happen if you use spsolve(A, b)?

hard📝 Application Q9 of 15
SciPy - Sparse Linear Algebra
You want to solve Ax = b where A is a sparse matrix but not square (e.g., 3x2). What will happen if you use spsolve(A, b)?
AIt will raise an error because <code>A</code> must be square
BIt will solve the system using least squares automatically
CIt will convert <code>A</code> to dense and solve
DIt will ignore extra rows in <code>b</code>
Step-by-Step Solution
Solution:
  1. Step 1: Check requirements for spsolve

    spsolve requires a square matrix to solve linear systems.
  2. Step 2: Understand behavior with non-square matrices

    Using a non-square matrix will cause an error because the system is not well-defined for direct solving.
  3. Final Answer:

    It will raise an error because A must be square -> Option A
  4. Quick Check:

    spsolve requires square matrices [OK]
Quick Trick: Check matrix shape; spsolve needs square matrices [OK]
Common Mistakes:
  • Assuming spsolve does least squares automatically
  • Expecting silent conversion to dense
  • Ignoring matrix shape mismatch errors

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