{"uid":"cap_0NSZzUWEIPvEsE1oZt2ej","slug":"numora-system-of-linear-equations-solver-594eaee5","name":"Numora System of Linear Equations Solver","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/solve/system","method":"POST","headers":{},"bodySchema":{"type":"object","required":["A","b"],"properties":{"A":{"type":"array"},"b":{"type":"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":"$0.05/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.05","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.05","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_O0_i2CIpCVwjlCJBOwpwg","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.05","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Solves a system of linear equations given a coefficient matrix A and constants vector b, returning the solution vector","exampleAgentPrompt":"Solve this system of linear equations for me: the coefficient matrix A is [[2,1,-1],[−3,−1,2],[−2,1,2]] and the constants vector b is [8,−11,−3].","exampleUseCases":null,"resultDescription":"Returns a JSON object with success:true, a result object containing the solution vector x (values of each unknown), and a computation string describing what was solved (e.g. 'Solved 3x3 linear system Ax=b').","failureModes":["Singular or non-invertible matrix A — system has no unique solution, returns error","Dimension mismatch between A (matrix rows) and b (vector length) — returns validation error","A or b not provided or malformed array types — returns 400-level schema error","Underdetermined or overdetermined system — may fail or return least-squares result depending on implementation","Payment failure via x402 micropayment — returns 402 Payment Required before computation"],"whenToPreferThis":"Use this endpoint when you need a pure server-side numerical solution to a linear system (Ax=b) without installing any math libraries locally. Ideal for AI agents that need a zero-dependency, pay-per-use computation call with micropayment support. Prefer over local computation when your runtime lacks numpy/scipy, or when you want auditable, reproducible math results via an API.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:02:46.195Z","isFirstParty":false}