{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.linear_algebra/1.14.1/input.json",
  "title": "Linear system / small matrix — input",
  "type": "object",
  "additionalProperties": false,
  "properties": {
    "mode": {
      "type": "string",
      "enum": [
        "solve",
        "det",
        "inverse",
        "rank",
        "multiply",
        "transpose",
        "eigen",
        "lu",
        "chol",
        "qr",
        "svd",
        "lstsq",
        "rref",
        "condition",
        "nullspace",
        "columnspace",
        "rowspace",
        "leftnullspace"
      ]
    },
    "order": {
      "type": "integer",
      "minimum": 2,
      "maximum": 4
    },
    "rows": {
      "type": "integer",
      "minimum": 2,
      "maximum": 4
    },
    "cols": {
      "type": "integer",
      "minimum": 2,
      "maximum": 4
    },
    "a11": {
      "type": "number"
    },
    "a12": {
      "type": "number"
    },
    "a13": {
      "type": "number"
    },
    "a21": {
      "type": "number"
    },
    "a22": {
      "type": "number"
    },
    "a23": {
      "type": "number"
    },
    "a31": {
      "type": "number"
    },
    "a32": {
      "type": "number"
    },
    "a33": {
      "type": "number"
    },
    "b1": {
      "type": "number"
    },
    "b2": {
      "type": "number"
    },
    "b3": {
      "type": "number"
    },
    "A": {
      "type": "number"
    }
  },
  "description": "Solve Ax=b for order 2–4, plus det, inverse, rank, LU, Cholesky (SPD A=LLᵀ), QR and SVD (square or rectangular m×n with m,n∈[2,4]), least squares (same rectangular shape), RREF, condition number, nullspace, column space, rowspace, left-nullspace, eigen, multiply, transpose. Same engine as /workspace/matrix. Discovery pages share this capability. Not a CAS. Not Statistics regression. (calculation_version 1.14.1) Provide at least 1 of: a11, A."
}