{"uid":"cap_Dpj34t3kIcuFbhfsi4d_M","slug":"numora-matrix-lu-decomposition-api-7a9a1e3a","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://numorapoi.orbonomy.xyz/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":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_DFRaQYzaNOM7QYPn2w9yT","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":"Performs LU decomposition on a 2D matrix, factoring it into lower and upper triangular matrices","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 flag, a computation description string, and a result object containing the L (lower triangular), U (upper triangular), and P (permutation) matrices from the LU factorization of the input matrix.","failureModes":["Non-square matrix provided — returns error if matrix rows and columns don't match","Singular matrix causes decomposition failure","Malformed 2D array input (jagged rows, non-numeric values) returns validation error","Empty matrix or null input returns 400-level error","Payment failure via x402 micropayment returns 402 status before computation"],"whenToPreferThis":"Use this endpoint when you need LU decomposition specifically as a pure math computation with no external dependencies, charged per-call via micropayment. Ideal for agents that need on-demand matrix factorization without setting up a local math library, or when integrating LU factorization into a serverless pipeline.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:00:33.758Z","isFirstParty":false}