{
  "caseName": "Complex Matrix Stability",
  "source": "complex-matrix-stability.n3",
  "question": "Classify three diagonal 2x2 complex matrices for discrete-time stability.",
  "scale": 2,
  "matrices": [
    {
      "name": "A_unstable",
      "diagonal": [
        {
          "re": 1,
          "im": 1
        },
        {
          "re": 2,
          "im": 0
        }
      ]
    },
    {
      "name": "A_stable",
      "diagonal": [
        {
          "re": 1,
          "im": 0
        },
        {
          "re": -1,
          "im": 0
        }
      ]
    },
    {
      "name": "A_damped",
      "diagonal": [
        {
          "re": 0,
          "im": 0
        },
        {
          "re": 0,
          "im": 0
        }
      ]
    }
  ],
  "sampleProduct": {
    "z": {
      "re": 1,
      "im": 2
    },
    "w": {
      "re": 0,
      "im": 1
    }
  }
}