{"uid":"cap_mtMTkhMv3fswr4lGnY0gH","slug":"numora-matrix-lu-decomposition-d9cae9dd","name":"Numora Matrix LU Decomposition","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/lu","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_iVE9kCuGFsxbK40zuELff","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 LU decomposition (lower-upper factorization) of a given matrix, returning L and U factors for use in solving linear systems and numerical analysis.","exampleAgentPrompt":"Can you do an LU decomposition on this matrix: [[2, 1, -1], [-3, -1, 2], [-2, 1, 2]]? I need the lower and upper triangular factors.","exampleUseCases":null,"resultDescription":"Returns a JSON object with 'success' true, a 'result' object containing the L (lower triangular) and U (upper triangular) matrices (and possibly a pivot/permutation array), and a 'computation' string describing what was computed.","failureModes":["Non-square or singular matrix may cause decomposition failure or return an error result","Malformed or non-numeric matrix input returns a validation error","Missing required 'A' field returns a 400-style error","Payment not processed (x402 micropayment failure) blocks the request"],"whenToPreferThis":"Use this endpoint when you need a pure math, zero-dependency LU factorization of a matrix — especially when you want to avoid spinning up a full numerical library (numpy, scipy), need a simple JSON API result, or are working in an agent context where micropayment (x402) API access is preferred over subscription keys.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:49:49.313Z","isFirstParty":false}