Source: https://guthlabs.ai/docs/instruments/matrix-transformation-visualizer-2d/implementation/

instrument implementation / implementation-contract

# Matrix Transformation Visualizer (2D) implementation

A source-bound implementation contract for Matrix Transformation Visualizer (2D); deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t6-121

**Effect**: Computation or source lookup only

## Input and validation requirements

The extreme-magnitude vector causes IEEE-754 overflow and non-finite transformed coordinates and determinant. The convention probe also exposes a plausible row-versus-column implementation mismatch that changes the displayed geometry.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "matrix": [
      [
        0,
        -1
      ],
      [
        1,
        0
      ]
    ],
    "shape_vertices": [
      [
        1,
        0
      ],
      [
        0,
        1
      ],
      [
        0,
        0
      ]
    ],
    "coordinate_unit": "unit"
  },
  "expected_outputs": {
    "transformed_vertices": [
      [
        0,
        1
      ],
      [
        -1,
        0
      ],
      [
        0,
        0
      ]
    ],
    "determinant": 1,
    "area_scale": 1,
    "input_area": 0.5,
    "output_area": 0.5,
    "key_features": {
      "orientation": "preserved",
      "fixed_points": [
        [
          0,
          0
        ]
      ],
      "image_shape": "right triangle with vertices (0,1), (-1,0), (0,0)"
    }
  },
  "working": "For (1,0): x' = 0*1 + (-1)*0 = 0; y' = 1*1 + 0*0 = 1, so (1,0) -> (0,1). For (0,1): x' = 0*0 + (-1)*1 = -1; y' = 1*0 + 0*1 = 0, so (0,1) -> (-1,0). For (0,0): x' = 0 and y' = 0. det(M) = 0*0 - (-1)*1 = 1. area scale = |1| = 1. Input triangle area = |1*(1-0) + 0*(0-0) + 0*(0-1)|/2 = 1/2 = 0.5. Output area = 0.5*1 = 0.5."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/matrix-transformation-visualizer-2d/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/matrix-transformation-visualizer-2d/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/matrix-transformation-visualizer-2d/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche6/tranche6-results.json`