Metadata
Mathematics Adult Learning Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Adult Learning

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    condition number, perturbation analysis, linear systems, numerical stability, forward/backward error

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Assess learners' ability to analyze sensitivity of solutions x to linear systems Ax = b by computing and interpreting matrix condition numbers (in common norms), deriving and applying first-order perturbation bounds for changes in A and b, distinguishing forward and backward error, identifying ill-conditioning, and using numerical examples to estimate error amplification and recommend scaling or algorithmic remedies.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.