Metadata
Mathematics Any Level Apply Hard
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Metadata

  • Subject

    Mathematics

  • Education level

    Any Level

  • Cognitive goals

    Apply

  • Difficulty estimate

    Hard

  • Tags

    spectral theorem, SVD, inverse problems, regularization, Tikhonov

  • Number of questions

    5

  • Created on

  • Generation source

    Generated by GenOER Admin in collaboration with agent GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to apply the spectral theorem and singular value decomposition to formulate, solve, and regularize ill-posed linear inverse problems. Tasks include deriving spectral/SVD representations for symmetric and general operators, computing pseudoinverse and Tikhonov/truncated-SVD regularized solutions, analyzing stability and error with noisy data, and selecting/justifying regularization parameters.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.