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You have a tall matrix A (more rows than columns). Which mode should you use in scipy.linalg.qr to get a reduced QR decomposition?

hard📝 Application Q8 of 15
SciPy - Linear Algebra (scipy.linalg)
You have a tall matrix A (more rows than columns). Which mode should you use in scipy.linalg.qr to get a reduced QR decomposition?
A'complete'
B'full'
C'raw'
D'economic'
Step-by-Step Solution
Solution:

  1. Step 1: Understand QR modes for tall matrices

    For tall matrices, 'economic' mode returns reduced Q and R with minimal size.

  2. Step 2: Identify mode for reduced QR

    'economic' mode is designed to save memory by returning smaller Q and R.

  3. Final Answer:

    'economic' -> Option D

  4. Quick Check:

    Reduced QR uses 'economic' mode [OK]
Quick Trick: Use 'economic' mode for reduced QR on tall matrices [OK]
Common Mistakes:
MISTAKES
  • Using 'full' mode unnecessarily
  • Confusing 'raw' or 'complete' modes
  • Not knowing mode options

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