{"uid":"cap_HKVzpjdza22AT697lv3CS","slug":"numora-matrix-svd-singular-value-decomposition-19ae072f","name":"Numora Matrix SVD (Singular Value Decomposition)","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/svd","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_iBmaL7CWzgs1mruCNxb7S","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 Singular Value Decomposition (SVD) of a matrix, returning U, Σ, and V matrices","exampleAgentPrompt":"Can you compute the singular value decomposition of this matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? I need the U, sigma, and V components.","exampleUseCases":[{"title":"Image compression via SVD","prompt":"Compute the SVD of this pixel intensity matrix [[52, 55, 61], [62, 59, 55], [63, 59, 55]] so I can identify the most important singular values for compression."},{"title":"Checking matrix rank for linear system","prompt":"I need to find the rank of this matrix before solving a system of equations — can you run SVD on [[1, 2], [2, 4], [3, 6]] and tell me the singular values?"},{"title":"Principal component analysis prep","prompt":"Decompose this covariance matrix [[2.0, 0.8], [0.8, 0.5]] using singular value decomposition so I can extract the principal components."}],"resultDescription":"Returns a JSON object with success=true, a human-readable computation description, and a result object containing the U matrix (left singular vectors), an array of singular values (sigma/Σ), and the V or V-transpose matrix (right singular vectors), enabling reconstruction or analysis of the original matrix.","failureModes":["Non-numeric matrix values cause a 400 or computation error","Non-rectangular matrix (jagged array) causes validation failure","Empty matrix or missing 'A' field returns error","Extremely large matrices may time out or exceed payload limits","Singular or near-singular matrices may return near-zero singular values with floating-point imprecision","Payment failure via x402 returns 402 status before computation begins"],"whenToPreferThis":"Choose this endpoint when you need a pure math, dependency-free SVD computation accessible via a simple API call with micropayment billing. Ideal for AI agents needing on-demand matrix factorization without spinning up a numerical computing environment (e.g. NumPy/SciPy). Prefer this over local computation when your agent runtime lacks math libraries, or when you want a consistent, auditable computation with per-call pricing at $0.10 USDC.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:06:03.539Z","isFirstParty":false}