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What does the eig function from scipy.linalg return when applied to a square matrix?

easy📝 Conceptual Q1 of 15
SciPy - Linear Algebra (scipy.linalg)
What does the eig function from scipy.linalg return when applied to a square matrix?
AThe determinant and trace of the matrix
BOnly the eigenvalues of the matrix
COnly the eigenvectors of the matrix
DEigenvalues and eigenvectors of the matrix
Step-by-Step Solution
Solution:
  1. Step 1: Understand the purpose of eig

    The eig function computes both eigenvalues and eigenvectors of a square matrix.
  2. Step 2: Recall the output format of eig

    It returns a tuple: first the eigenvalues array, then the eigenvectors matrix.
  3. Final Answer:

    Eigenvalues and eigenvectors of the matrix -> Option D
  4. Quick Check:

    eig output = eigenvalues and eigenvectors [OK]
Quick Trick: eig returns both eigenvalues and eigenvectors together [OK]
Common Mistakes:
MISTAKES
  • Thinking eig returns only eigenvalues
  • Confusing eig with functions that return determinant
  • Assuming eig returns a single array

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