{"uid":"cap_Ga2Yn4pwCNMNs-U-PeqPQ","slug":"numora-matrix-system-solver-7d136fdf","name":"Numora — Matrix System 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/matrix/solve-system","method":"POST","headers":{},"bodySchema":{"type":"object","required":["A","b"],"properties":{"A":{"type":"array","description":"Matrix (2D 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_s1BqjgqMRwlL5R8cMvrmS","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 A is [[2,1],[-1,3]] and b is [5,10] — give me the solution vector x.","exampleUseCases":[{"title":"Engineering circuit analysis","prompt":"I have a 3-node circuit and need to find the currents. My admittance matrix A is [[4,-1,-1],[-1,3,0],[-1,0,2]] and my source vector b is [2,1,0] — solve for the node voltages."},{"title":"Economics supply-demand equilibrium","prompt":"I need to find the equilibrium quantities for two markets where the system is defined by A = [[3,-1],[-2,4]] and b = [12,8]. Can you solve this linear system for me?"},{"title":"3D geometry intersection","prompt":"Find the intersection point of three planes given the coefficient matrix A = [[1,1,1],[2,-1,1],[1,2,-1]] and the right-hand side vector b = [6,3,4]."}],"resultDescription":"Returns a JSON object with a boolean 'success' field, a 'result' object containing the solution vector x such that Ax=b, and a 'computation' string with a human-readable description of what was solved.","failureModes":["Singular or non-invertible matrix A returns an error (no unique solution exists)","Dimension mismatch between A and b (rows of A must equal length of b)","Non-square matrix A (underdetermined or overdetermined systems may not be supported)","Malformed input (non-numeric values in A or b)","Payment failure via x402 micropayment protocol"],"whenToPreferThis":"Use this endpoint when you need to solve a well-determined system of linear equations (n equations, n unknowns) numerically, with no external dependencies or third-party library calls. Ideal for AI agents that need fast, reliable algebraic solutions within a workflow — especially when the matrix is dense and small-to-medium sized. Prefer this over symbolic math APIs when a numeric answer suffices and speed matters.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:32:18.664Z","isFirstParty":false}