{"uid":"cap_t-_wruIKagZ0SSTskhrO7","slug":"numora-matrix-eigenvalue-computation-5fdbe09a","name":"Numora Matrix Eigenvalue 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://numormor.netlify.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":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"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_lk0ZtXadN8gAk-GUmfCfi","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","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 the matrix [[4, 1], [2, 3]] for me?","exampleUseCases":[{"title":"PCA preprocessing for data analysis","prompt":"I'm building a machine learning pipeline and need to find the eigenvalues of my covariance matrix to understand the variance distribution across features. Can you compute the eigenvalues for this correlation matrix so I know which dimensions are most important?"},{"title":"Stability check for control systems","prompt":"I'm analyzing a linear dynamical system and need to verify it's stable. Can you calculate the eigenvalues of this system matrix and tell me if they're all in the left half-plane?"},{"title":"Financial portfolio risk assessment","prompt":"I need to evaluate the risk structure of my investment portfolio. Can you compute the eigenvalues of this correlation matrix between asset returns? This will help me understand the principal risk factors."}],"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed eigenvalues of the input matrix, and a human-readable string describing what was computed.","failureModes":["Non-square matrix provided — eigenvalues are undefined, likely returns error","Missing required field 'A' — returns validation error","Malformed 2D array input — parsing error returned","Payment not attached or insufficient — x402 payment required error","Non-numeric values in matrix — computation failure or NaN result"],"whenToPreferThis":"Choose this endpoint when you need server-side, dependency-free eigenvalue computation for a square matrix, especially in agentic workflows where you want to pay per-call via x402 micropayments on Base rather than bundling a math library. Ideal for lightweight AI agent pipelines doing linear algebra, PCA prep, or stability analysis.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:48:55.079Z","isFirstParty":false}