{
  "capability_id": "math.linear_algebra",
  "tool_id": "linear-system",
  "engine": "linear-algebra",
  "calculation_version": "1.10.0",
  "generated_at": "2026-09-19T13:13:12.836Z",
  "engine_build": "2026-09-19",
  "test_count": 44,
  "passed": 44,
  "failed": 0,
  "tests_summary": {
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      "passed": 23
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    "boundary": {
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      "passed": 2
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    "property": {
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      "passed": 19
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  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
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  "reviewer_role": null,
  "last_reviewed": null,
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    "scope": [
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      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
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    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
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  "internal_review": {
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  "api": "https://www.calculatorx.com/api/v1/calc/linear-system",
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  "schema_output": "https://www.calculatorx.com/schemas/math.linear_algebra.output.json",
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    "Order ≤ 4",
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    "Singular inverse → SINGULAR_MATRIX",
    "Not rectangular / Statistics regression / large-matrix server compute",
    "Not 2-norm κ₂ as a product / CAS / Jordan form"
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  "boundary_conditions": [
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