[Solved] Why does eigsh require the input matrix to be symmetric or Hermitian? — Ans: Because it uses algorithms optimized for symmetric matrices to improve speed... | SciPy

SciPy - Sparse Linear Algebra

Why does eigsh require the input matrix to be symmetric or Hermitian?

ABecause it cannot handle complex numbers

BBecause it computes the inverse instead of eigenvalues

CBecause it only works on diagonal matrices

DBecause it uses algorithms optimized for symmetric matrices to improve speed and accuracy

Step-by-Step Solution

Solution:

Step 1: Understand eigsh algorithm
eigsh uses specialized methods that exploit symmetry to be faster and more accurate.
Step 2: Eliminate incorrect reasons
It can handle complex numbers, works on general symmetric matrices, and computes eigenvalues, not inverses.
Final Answer:
Because it uses algorithms optimized for symmetric matrices to improve speed and accuracy -> Option D
Quick Check:
Symmetry requirement = algorithm optimization [OK]

Quick Trick: eigsh exploits symmetry for efficiency and accuracy [OK]

Common Mistakes:

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