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Matrix Determinant Calculator
x402
Matrix Determinant Calculator is a paid API for AI agents from matrix.openverbs.com, paid per call via x402, $0.004/call, status unknown (last checked 2026-09-14).
Computes the determinant of a square matrix using Gaussian elimination with partial pivoting
Price / call$0.004
Success—
StatusUnknown
How this service works
Compute the determinant of a square matrix via Gaussian elimination with partial pivoting. A non-square, ragged or empty matrix is a clean 400; a singular matrix simply returns 0.
Output
Returns a single numeric scalar representing the determinant of the input matrix. For a singular matrix (det = 0), returns 0. For non-square, ragged, or empty matrices, returns a 400 error.
Example use cases
Check matrix invertibility before solving system
“Before I try to solve this linear system, can you check if the coefficient matrix [[2, 1, -1], [−3, −1, 2], [−2, 1, 2]] is invertible by computing its determinant?”
Compute determinant for eigenvalue analysis
“I need the determinant of the 4×4 matrix [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]] as part of finding its eigenvalues — can you calculate that?”
Validate singular matrix in data pipeline
“Our data pipeline needs to flag degenerate cases — can you compute the determinant of this matrix [[1,2,3],[4,5,6],[7,8,9]] so I can check if it's singular?”
Technical details
Endpoint
POSThttps://matrix.openverbs.com/v1/determinantWhen to prefer
Choose this endpoint when you need a fast, reliable scalar determinant for a square numeric matrix — especially in automated pipelines requiring invertibility checks, condition analysis, or pre-validation before matrix inversion or linear system solving. It handles singular matrices gracefully (returns 0 rather than erroring), making it safe for batch use. Prefer this over general-purpose math libraries when you need a pay-per-call API that integrates easily into agentic workflows.
Side effects
- Non-square matrix submitted: returns 400 with clean error
- Ragged matrix (rows of unequal length): returns 400
- Empty matrix (zero rows or zero columns): returns 400
- Singular matrix: returns 0 (not an error, by design)
- Malformed JSON body or missing matrix field: returns 400
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object |
Tags
x402
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