Metadata
Mathematics Adult Learning Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Adult Learning

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    iterative methods, convergence, spectral radius, SOR, numerical linear algebra

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess learners' ability to analyze and compare the convergence behavior of Jacobi, Gauss–Seidel, and SOR iterative solvers for linear systems: derive iteration matrices, compute or estimate spectral radii, apply sufficient conditions (e.g., diagonal dominance, symmetric positive definiteness), evaluate and compare convergence rates, and determine/justify choices of relaxation parameter ω for SOR in prototypical matrices and small numerical examples.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.