{"uid":"cap_-1qU0CnjJN7LF4x9cpqH8","slug":"numora-matrix-determinant-b46437eb","name":"Numora Matrix Determinant","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/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_XX95jgNLzFnVZaBKpQnCm","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","exampleAgentPrompt":"Calculate the determinant of my 3x3 matrix [[2,1,3],[0,4,1],[5,6,0]] — I need to check if it's invertible.","exampleUseCases":[{"title":"Check if matrix is invertible","prompt":"I have the matrix [[4,7],[2,6]] — compute its determinant so I can tell whether the matrix is invertible or singular."},{"title":"Solve linear system feasibility","prompt":"Before I try to solve this 3x3 linear system, can you compute the determinant of the coefficient matrix [[1,2,3],[4,5,6],[7,8,10]] to see if a unique solution exists?"},{"title":"Geometric transformation scaling factor","prompt":"I'm working with a transformation matrix [[cos(30),−sin(30)],[sin(30),cos(30)]] — roughly [[0.866,−0.5],[0.5,0.866]] — can you compute its determinant to confirm the transformation preserves area?"}],"resultDescription":"Returns a JSON object with 'success' (boolean), 'result' (object containing the scalar determinant value), and 'computation' (human-readable string describing what was computed, e.g. 'Determinant of a 3×3 matrix').","failureModes":["Non-square matrix supplied — determinant is undefined for non-square matrices, likely returns an error","Empty or null matrix array — missing required field A returns a validation error","Matrix contains non-numeric values — computation fails with type error","Extremely large matrices may cause performance or timeout issues","Malformed 2D array structure (jagged rows) may result in an error"],"whenToPreferThis":"Choose this endpoint when you need a reliable, zero-dependency pure math computation of a matrix determinant without spinning up a local math library or calling a general-purpose code execution service. Ideal for AI agents that need deterministic, fast scalar results for linear algebra tasks such as checking matrix invertibility, computing scaling factors for geometric transformations, or evaluating the feasibility of linear systems. Prefer this over symbolic math APIs when you need a numeric result, and over general code-execution endpoints when you want a lightweight, purpose-built call.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:00:44.127Z","isFirstParty":false}