{"uid":"cap_ibBq32k-jxs7buArDPMgl","slug":"numora-matrix-eigenvalues-computation-723496af","name":"Numora Matrix Eigenvalues Computation","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numomo.vercel.app/api/matrix/eigenvalues","method":"POST","headers":{},"bodySchema":{"type":"object","required":["A"],"properties":{"A":{"type":"array","description":"Matrix (2D array)"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_2mNpC6X86ROKxXgFwWTwo","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes eigenvalues of a square matrix using pure math, returning all eigenvalues with no external dependencies.","exampleAgentPrompt":"Can you compute the eigenvalues of the matrix [[4, 1], [2, 3]]?","exampleUseCases":[{"title":"PCA covariance matrix analysis","prompt":"I have a covariance matrix [[6, 2, 1], [2, 5, 3], [1, 3, 4]] — can you compute its eigenvalues so I can figure out which principal components to keep?"},{"title":"System stability check","prompt":"Can you find the eigenvalues of my system's state matrix [[0, 1], [-2, -3]] so I can check whether the system is stable?"},{"title":"Graph Laplacian spectrum","prompt":"Compute the eigenvalues of this graph Laplacian matrix [[2, -1, -1], [-1, 2, -1], [-1, -1, 2]] — I need the spectral gap for a clustering analysis."}],"resultDescription":"Returns a JSON object with 'success' (true), 'result' containing the computed eigenvalues (real and/or complex), and 'computation' with a human-readable description of what was computed.","failureModes":["Non-square matrix input returns an error — eigenvalues are only defined for square matrices","Singular or ill-conditioned matrices may yield numerically unstable results","Missing or malformed 'A' field in request body returns a validation error","Non-numeric values inside the matrix array cause a parse/computation failure"],"whenToPreferThis":"Use this endpoint when you need fast, dependency-free eigenvalue computation on Base with x402 micropayments, especially for AI agents that need deterministic math results without standing up a numerical computing environment. Prefer this over general-purpose code execution when you want a single, focused matrix eigenvalue call with predictable cost ($0.1 USDC) and no server-side library provisioning.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T18:45:59.075Z","isFirstParty":false}