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Given a matrix M, you want to check if it is singular using scipy. Which approach is best?

hard📝 Application Q9 of 15
SciPy - Linear Algebra (scipy.linalg)
Given a matrix M, you want to check if it is singular using scipy. Which approach is best?
ACheck if trace(M) equals zero
BCheck if det(M) equals zero
CCheck if M is symmetric
DCheck if M is diagonal
Step-by-Step Solution
Solution:
  1. Step 1: Recall singular matrix definition

    A matrix is singular if it does not have an inverse.
  2. Step 2: Use determinant to test singularity

    If determinant is zero, matrix is singular (no inverse).
  3. Final Answer:

    Check if det(M) equals zero -> Option B
  4. Quick Check:

    Singular matrix -> determinant zero [OK]
Quick Trick: Singular means determinant zero [OK]
Common Mistakes:
MISTAKES
  • Using trace to check singularity
  • Confusing symmetry with singularity
  • Checking diagonal property incorrectly

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