{"uid":"cap_2UgF7rqgpxWXSBGx1Grw6","slug":"numora-linear-system-solver-api-7e971961","name":"Numora — Linear System Solver 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/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__urbT4IyRH5UZqR4mm4su","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 given a coefficient matrix A and constant vector b, returning the solution vector","exampleAgentPrompt":"Solve this system of linear equations for me: 2x + y = 5 and x - y = 1 — give me the values of x and y. The coefficient matrix A is [[2,1],[1,-1]] and b is [5,1].","exampleUseCases":[{"title":"Solving simultaneous engineering equations","prompt":"I have a set of load equations from a structural model: A = [[3,1,0],[1,4,1],[0,1,3]] and b = [9,10,9]. Solve this linear system and give me the values for each unknown variable."},{"title":"Balancing a financial portfolio system","prompt":"I need to find the allocation amounts in three assets where their weighted sums must equal target returns — my coefficient matrix is [[0.05,0.08,0.12],[1,1,1],[0.02,-0.01,0.04]] and my targets b are [0.09,100000,0.01]. Solve that linear system for me."},{"title":"Computing circuit network currents","prompt":"For a resistor network with Kirchhoff equations represented as A = [[4,-1,-1],[-1,3,0],[-1,0,2]] and b = [10,5,8], solve the system to find the current in each branch."}],"resultDescription":"Returns a JSON object with a boolean success field, a result object containing the solution vector (the values of each unknown that satisfy Ax=b), and a human-readable computation string describing what was solved.","failureModes":["Singular or non-invertible matrix A — system has no unique solution, likely returns error or failure flag","Mismatched dimensions between A and b — request rejected with schema validation error","Non-square matrix A provided when a unique solution is expected","Numerical precision issues for ill-conditioned matrices — result may be inaccurate","Payment failure via x402 micropayment — call blocked without USDC authorization on Base"],"whenToPreferThis":"Choose this endpoint when you need a quick, dependency-free numerical solution to a system of linear equations (Ax=b) and want to pay per call via x402 micropayments on Base without standing up your own math infrastructure. Ideal for AI agents that occasionally need linear algebra in financial modeling, engineering calculations, or optimization subproblems without bundling a full math library.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T12:31:35.652Z","isFirstParty":false}