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Linear Algebra Transform Compose
x402
Linear Algebra Transform Compose is a paid API for AI agents from linear-algebra.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Composes a sequence of 2D or 3D rotate, scale, and translate operations into a single homogeneous transformation matrix, optionally applying it to a point.
Price / call$0.02
Success—
StatusUnknown
How this service works
Compose 2D or 3D rotate, scale and translate steps into one homogeneous matrix, optionally applied to a point.
Output
Returns a homogeneous transformation matrix (3x3 for 2D, 4x4 for 3D), its inverse, the determinant of the linear part, a flag indicating whether the transform is a rigid motion or preserves distances, an ordered list of steps applied, an optional transformed point if one was supplied, and a human-readable summary and order note.
Example use cases
2D game object transform pipeline
“I need to combine a 2D scale by 2, then rotate 90 degrees, then translate by (5, 3) into one matrix — and also tell me where the point (1, 0) ends up after that full transformation.”
3D scene object placement
“Build a 3D transformation matrix that first rotates 30 degrees around the Z axis and then translates by (0, 0, 5), using a 4x4 homogeneous matrix, and apply it to the point (1, 0, 0).”
Verify rigid motion of a rotation-translation chain
“Chain a 2D rotation of 60 degrees followed by a translation of (2, -1) into a single homogeneous matrix and tell me if the result is a rigid motion and what the determinant is.”
Technical details
Endpoint
GEThttps://linear-algebra.x402tookit.com/transform-compose?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need to compose a sequence of affine transformations (rotate, scale, translate) into a single homogeneous matrix for 2D or 3D use cases, especially in graphics pipelines, robotics kinematics, or geometric computation. Prefer it over manual matrix multiplication when you want the convenience of specifying human-readable operation steps rather than raw matrices, and when you also want the inverse matrix, rigidity analysis, and optional point transformation bundled in one call.
Side effects
- Invalid or malformed steps JSON — returns error describing parsing failure
- Unsupported operation type in steps (e.g. unknown 'op' value)
- Dimension mismatch between steps and the specified dim parameter
- Point array length does not match the specified dimension
- Missing required 'steps' query parameter — returns 400-level error
- 3D rotate step missing required 'axis' field
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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