{"uid":"cap_VBLwyD84mdTwTzZt_ct4n","slug":"numora-matrix-eigenvectors-api-9db4833b","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://numormo.vercel.app/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":"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_nsiCMmEHFSS0Vr8Tvuz57","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 the eigenvalues and eigenvectors of a given square matrix using pure server-side math with no external dependencies.","exampleAgentPrompt":"Calculate the eigenvalues and eigenvectors of this matrix: [[4, 1], [2, 3]] — I need the full spectral decomposition.","exampleUseCases":[{"title":"PCA preprocessing for machine learning","prompt":"I have a covariance matrix [[6, 2], [2, 3]] from my dataset — can you compute its eigenvectors so I know the principal component directions?"},{"title":"Structural vibration mode analysis","prompt":"For the stiffness matrix [[5, -2], [-2, 3]], find the eigenvectors — I need the natural vibration modes of this system."},{"title":"Graph Laplacian spectral analysis","prompt":"Compute the eigenvalues and eigenvectors of this graph Laplacian matrix: [[2, -1, -1], [-1, 2, -1], [-1, -1, 2]], so I can perform spectral clustering."}],"resultDescription":"Returns a JSON object with 'success' (boolean), 'result' (containing eigenvalues as an array and eigenvectors as a 2D array or list of vectors), and 'computation' (a human-readable string describing what was computed).","failureModes":["Non-square matrix provided — returns error since eigendecomposition requires square input","Matrix contains non-numeric values — parsing error returned","Singular or defective matrix may yield complex eigenvalues not representable in real form","Missing required field 'A' — returns validation error","Payment not fulfilled via x402 micropayment — request rejected before computation"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, serverless, zero-dependency pure math computation of eigenvalues and eigenvectors, especially inside AI agent pipelines that support x402 micropayments on Base. Prefer it over heavier numerical libraries when you need a simple HTTP call without spinning up a Python/NumPy environment.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:39:20.617Z","isFirstParty":false}