{"uid":"cap_Lj7lBV1b1NRgWBiKa4mv9","slug":"numora-matrix-qr-decomposition-api-7a664a0d","name":"Numora Matrix QR Decomposition 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/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":"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__hMGTt4lTcIni50iBR5H2","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 QR decomposition of a given matrix, returning orthogonal (Q) and upper triangular (R) factor matrices.","exampleAgentPrompt":"Can you compute the QR decomposition of this matrix: [[1, 2], [3, 4], [5, 6]]? I need the Q (orthogonal) and R (upper triangular) factor matrices.","exampleUseCases":[{"title":"Least squares regression computation","prompt":"I have a design matrix [[1,2],[3,4],[5,6]] and I want to solve a least squares problem — can you QR-decompose it so I can work with the orthogonal and upper triangular factors?"},{"title":"Eigenvalue algorithm preprocessing","prompt":"Before running an eigenvalue iteration, I need the QR decomposition of [[4, 3], [6, 3]] — can you give me the Q and R matrices?"},{"title":"Checking numerical stability of a matrix","prompt":"Can you QR-decompose my 3x3 matrix [[2,1,0],[1,3,1],[0,1,2]] so I can inspect its orthogonal structure and upper triangular factor?"}],"resultDescription":"Returns a JSON object with 'success' (boolean), 'computation' (human-readable description of what was computed), and 'result' containing the Q (orthogonal) and R (upper triangular) factor matrices as 2D arrays.","failureModes":["Non-numeric or malformed matrix elements cause a validation error","Non-2D array input rejected","Singular or rank-deficient matrix may produce degenerate Q/R factors","Missing required field 'A' returns an error","Very large matrices may time out or hit memory limits on the serverless host"],"whenToPreferThis":"Choose this endpoint when you need a pure, dependency-free QR factorization with no setup overhead and micropayment-based access. Prefer it for lightweight agent workflows needing on-demand matrix decomposition without provisioning a full numerical computing environment.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T18:37:58.433Z","isFirstParty":false}