{"uid":"cap_tQC_ofLC3kklao9_rkGiL","slug":"numora-matrix-eigenvectors-api-978978d4","name":"Numora Matrix Eigenvectors API","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://numorapoi.orbonomy.xyz/api/matrix/eigenvectors","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":"probe","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":"$0.04/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_qwqQp0XAv0950uMkQkZtT","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.04","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the eigenvalues and eigenvectors of a given square matrix using pure server-side math — no external dependencies.","exampleAgentPrompt":"Can you find the eigenvalues and eigenvectors of this matrix: [[4, 1], [2, 3]]?","exampleUseCases":null,"resultDescription":"Returns a JSON object with 'success' (true), 'result' (an object containing eigenvalues and eigenvectors arrays), and 'computation' (a human-readable description of what was computed). Eigenvalues and eigenvectors are returned in standard numeric form.","failureModes":["Non-square matrix provided — eigendecomposition requires a square matrix","Matrix elements are not valid numbers — malformed array entries","Missing required field 'A' — request body must include the matrix","Singular or ill-conditioned matrix may produce warnings or numerical instability","Payment not included or insufficient — x402 micropayment of $0.10 USDC required per call","Matrix dimension too large — may time out or exceed compute limits"],"whenToPreferThis":"Use this endpoint when you need pure server-side eigendecomposition with no runtime dependencies — ideal for AI agents that cannot execute Python/numpy locally, need deterministic math computation, or are operating in sandboxed environments. Prefer this over code-execution tools when you want a lightweight, single-call numerical answer via an HTTP API paid with x402 micropayments.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:56:50.389Z","isFirstParty":false}