{"uid":"cap_wbdqI4kejUFVNsl4rboU5","slug":"numora-matrix-eigenvalues-api-720c774c","name":"Numora Matrix Eigenvalues 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/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_S4AYBqOMuutl8BdOvAaLv","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 of a given square matrix using pure server-side math with no external dependencies.","exampleAgentPrompt":"Can you compute the eigenvalues of this matrix for me: [[4, 1], [2, 3]]?","exampleUseCases":[{"title":"PCA preprocessing eigenvalue check","prompt":"I need the eigenvalues of this covariance matrix before I run PCA — can you compute them? The matrix is [[3, 1, 0], [1, 2, 1], [0, 1, 3]]."},{"title":"Stability analysis of a dynamic system","prompt":"For my control systems homework, can you find the eigenvalues of this system matrix [[0, 1], [-2, -3]] so I can check if the system is stable?"},{"title":"Verifying matrix diagonalizability","prompt":"I have the matrix [[5, 4], [1, 2]] and I want to know its eigenvalues to figure out if it's diagonalizable — can you calculate them?"}],"resultDescription":"Returns a JSON object with a boolean 'success' field, a 'result' object containing the computed eigenvalues (real and/or complex), and a 'computation' string providing a human-readable description of what was calculated.","failureModes":["Non-square matrix provided — eigenvalues are only defined for square matrices","Matrix contains non-numeric values — computation will fail","Empty or malformed 2D array input — validation error returned","Numerical instability for ill-conditioned matrices may produce approximate results","Payment failure via x402 micropayment protocol — call not executed"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, dependency-free eigenvalue computation callable from any AI agent or serverless environment without installing scientific Python libraries. Ideal for single-shot computations billed per-use via x402 micropayments on Base, where you want deterministic pure-math results without spinning up a data science stack.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T18:58:52.374Z","isFirstParty":false}