{"uid":"cap_oLvfC8YR9XYBrqpGa4BUB","slug":"numora-system-of-linear-equations-solver-bc56cd00","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://numomo.vercel.app/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":"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_-b4x_gYyzaAJV2rcoM7Ah","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":"Solves a system of linear equations Ax=b given a coefficient matrix A and constant vector b","exampleAgentPrompt":"Solve the system of linear equations where the coefficient matrix A is [[2,1,-1],[−3,−1,2],[−2,1,2]] and the right-hand side vector b is [8,−11,−3].","exampleUseCases":[{"title":"Engineering circuit analysis","prompt":"I need to solve the system of equations for this electrical circuit — the coefficient matrix A is [[4,-1,0],[-1,3,-1],[0,-1,2]] and b is [15, 10, 5]. Can you find the currents x?"},{"title":"Economics supply-demand equilibrium","prompt":"Find the equilibrium quantities for my three-market model. The coefficient matrix A is [[1,0.5,0.2],[0.3,1,0.4],[0.1,0.2,1]] and the constants vector b is [100, 80, 60]."},{"title":"Robotics inverse kinematics","prompt":"I have a linear joint-space problem with coefficient matrix A [[1,2,0],[0,1,3],[2,0,1]] and b [5, 9, 7] — solve for the joint angles x."}],"resultDescription":"Returns a JSON object with success=true, a result object containing the solution vector x (the values of the unknowns satisfying Ax=b), and a human-readable computation string describing what was solved.","failureModes":["Singular or non-invertible matrix A causes a failure (no unique solution exists)","Dimension mismatch between A (n×m) and b (length ≠ n) returns an error","Malformed array inputs (non-numeric values, jagged arrays) cause parsing errors","Payment failure via x402 micropayment protocol blocks execution","Underdetermined or overdetermined systems may return errors or least-squares approximations depending on implementation"],"whenToPreferThis":"Choose this endpoint when you need a pure, dependency-free numerical solution to a system of linear equations (Ax=b) without setting up a full math library or scientific computing environment. Ideal for AI agents that need lightweight, on-demand matrix equation solving with micropayment-per-call economics rather than a subscription. Prefer over symbolic CAS tools when a numerical answer is sufficient and speed matters.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:56:13.347Z","isFirstParty":false}