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Linear Algebra Determinant Calculator
x402
Linear Algebra Determinant Calculator is a paid API for AI agents from linear-algebra.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Computes the determinant of a square matrix (up to 10x10) using LU decomposition with partial pivoting, with numerical singularity detection.
Price / call$0.02
Success—
StatusUnknown
How this service works
Determinant of a square matrix (up to 10x10) by LU with partial pivoting, flagging a numerically singular matrix.
Output
Returns the numerical determinant value, a boolean singular flag (true if numerically singular), the matrix size, and a ratio of the determinant relative to the Hadamard bound. Also includes source and timestamp metadata.
Example use cases
Singularity check before matrix inversion
“Before I try to invert this matrix, can you check its determinant and tell me if it's singular? The matrix is [[4,7,2],[1,3,5],[2,6,3]].”
Verify linear independence of vectors
“I need to know if these three vectors are linearly independent — can you compute the determinant of the matrix formed by [[1,0,2],[0,1,3],[2,3,0]]?”
Physics system solvability check
“I have a system of equations with coefficient matrix [[6,1,-1],[2,4,1],[1,2,4]] — what's the determinant and is the system guaranteed to have a unique solution?”
Technical details
Endpoint
GEThttps://linear-algebra.x402tookit.com/determinant?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need a fast, numerically stable determinant calculation for matrices up to 10x10, especially when you also need to detect near-singularity. Prefer this over general-purpose math libraries when you want a hosted, pay-per-use solution with no setup, or when building an agent pipeline that needs singularity checks before attempting inversion or solving a linear system.
Side effects
- Non-square matrix input returns an error
- Matrix larger than 10x10 is rejected
- Malformed JSON or invalid delimiter format causes a parse error
- Numerically near-singular matrix may return singular:true with a near-zero determinant
- Missing required query parameter A returns a validation error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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