{"uid":"cap_zkAjdo-LZFTZcwY-ASQI_","slug":"numora-matrix-rank-api-30e675e5","name":"Numora Matrix Rank 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/rank","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_EZ6Wrqz4JMWjTA3Xh80m-","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 rank (number of linearly independent rows/columns) of a given matrix","exampleAgentPrompt":"What's the rank of this matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?","exampleUseCases":[{"title":"Check if system of equations is solvable","prompt":"I have this coefficient matrix [[2, 1, -1], [4, 2, -2], [6, 3, -3]] — can you compute its rank so I can figure out whether my linear system has a unique solution?"},{"title":"Verify matrix is full rank before inversion","prompt":"Before I try to invert my matrix [[3, 1], [6, 2]], can you compute its rank to check if it's invertible?"},{"title":"Dimensionality analysis for data science","prompt":"I have a feature matrix [[1, 0, 1], [0, 1, 0], [1, 1, 1], [2, 1, 2]] and I need to know its rank to understand the true dimensionality of my data."}],"resultDescription":"Returns a JSON object with 'success' (true on success), 'result' (an object containing the computed rank value), and 'computation' (a human-readable string describing what was computed, e.g. 'Rank of a 3x3 matrix').","failureModes":["Non-square or malformed 2D array may return an error","Missing required 'A' field returns validation error","Passing a 1D array instead of a 2D array causes failure","Empty matrix array returns an error","Non-numeric values in the matrix cause computation failure"],"whenToPreferThis":"Choose this endpoint when you need a pure, dependency-free computation of matrix rank with no external library setup, especially within an AI agent workflow that supports x402 micropayments on Base. Ideal when you need a quick, on-demand scalar rank value without spinning up a local numerical computing environment like NumPy or MATLAB.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:31:50.556Z","isFirstParty":false}