{"uid":"cap_H_2_oiJPcteDL70mfdtOe","slug":"numora-matrix-qr-decomposition-607cf145","name":"Numora Matrix QR 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/qr","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_aJJH7YZz5ZAmSt0-6THgd","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":"Computes the QR decomposition of a matrix, factoring it into an orthogonal matrix Q and an upper triangular matrix R","exampleAgentPrompt":"Can you do a QR decomposition on this matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? I need the orthogonal Q and upper triangular R factors.","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the Q (orthogonal) and R (upper triangular) matrices from the QR factorization, and a human-readable computation string describing what was computed.","failureModes":["Non-square or non-rectangular array submitted — returns error","Matrix contains non-numeric values — parse or type error","Empty matrix array — validation error","Singular or degenerate matrix may produce numerically unstable results","Missing required field 'A' in request body — 422 or 400 error","Payment not included or insufficient — 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need a pure, dependency-free QR decomposition of a matrix and want a simple REST call with micropayment pricing. Ideal for AI agents that need matrix factorization as a step in solving least squares problems, computing eigenvalues, or performing orthogonalization without running local numerical libraries.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:01:02.157Z","isFirstParty":false}