{"uid":"cap_VjFSoKOW8_ymIdr_II2u_","slug":"numora-matrix-determinant-api-7c909fe7","name":"Numora Matrix Determinant 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://numomo.vercel.app/api/matrix/determinant","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_6qoWczEt0oy-_Zpx36a6W","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 determinant of a square matrix supplied as a 2D array, returning the scalar result with no external dependencies.","exampleAgentPrompt":"Calculate the determinant of this 3x3 matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]].","exampleUseCases":[{"title":"Check matrix invertibility before solving","prompt":"I need to know if this 4x4 matrix is invertible — can you compute its determinant? The matrix is [[2,1,0,0],[1,3,1,0],[0,1,4,1],[0,0,1,2]]."},{"title":"Eigenvalue analysis setup","prompt":"Before I run eigenvalue decomposition, I want to verify the determinant of this 3x3 matrix [[5,2,1],[2,8,3],[1,3,6]] to make sure it's non-zero."},{"title":"Linear systems unique solution check","prompt":"Does this system of linear equations have a unique solution? Check by computing the determinant of the coefficient matrix [[3,-1,2],[1,4,-1],[2,1,3]]."}],"resultDescription":"Returns a JSON object with 'success' (boolean), 'result' (object containing the computed determinant scalar), and 'computation' (human-readable string describing what was calculated, e.g. 'Determinant of a 3x3 matrix').","failureModes":["Non-square matrix provided — determinant is undefined, returns error","Malformed 2D array input — validation error","Singular or near-singular matrix may return 0 determinant (valid result, not an error)","Missing required field 'A' — returns 400-level error","Rows of inconsistent length — malformed matrix error"],"whenToPreferThis":"Choose this endpoint when you need a fast, dependency-free determinant calculation for any square matrix, especially in agentic pipelines where installing numpy or scipy is not viable. Ideal for checking matrix invertibility, verifying unique solutions to linear systems, or preprocessing steps before eigenvalue or decomposition operations. Pays via x402 micropayment on Base, making it suitable for automated agent workflows with crypto payment rails.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:48:04.011Z","isFirstParty":false}