{
    "input": [
        [
            "1",
            "2",
            "3"
        ],
        [
            "0",
            "4",
            "5"
        ],
        [
            "1",
            "0",
            "6"
        ]
    ],
    "minors": [
        [
            "24",
            "-5",
            "-4"
        ],
        [
            "12",
            "3",
            "-2"
        ],
        [
            "-2",
            "5",
            "4"
        ]
    ],
    "cofactors": [
        [
            "24",
            "5",
            "-4"
        ],
        [
            "-12",
            "3",
            "2"
        ],
        [
            "-2",
            "-5",
            "4"
        ]
    ],
    "adjugate": [
        [
            "24",
            "-12",
            "-2"
        ],
        [
            "5",
            "3",
            "-5"
        ],
        [
            "-4",
            "2",
            "4"
        ]
    ],
    "determinant": "22",
    "selected_cofactor": "24",
    "selected_minor": "24",
    "selected_position": [
        1,
        1
    ],
    "classification": [
        "Nonsingular",
        "Invertible"
    ],
    "transpose": [
        [
            "1",
            "0",
            "1"
        ],
        [
            "2",
            "4",
            "0"
        ],
        [
            "3",
            "5",
            "6"
        ]
    ],
    "trace": "11",
    "rank": 3,
    "characteristic_polynomial": "\u03bb\u00b3 \u2212 11\u03bb\u00b2 + 31\u03bb \u2212 22",
    "eigenvalues_approximate": [
        "1.9795177 \u2212 0.29434505i",
        "1.9795177 + 0.29434505i",
        "7.04096459"
    ],
    "expansions": {
        "row_1": "22",
        "column_1": "22",
        "row_2": "22",
        "column_2": "22",
        "row_3": "22",
        "column_3": "22"
    },
    "inverse": [
        [
            "12/11",
            "-6/11",
            "-1/11"
        ],
        [
            "5/22",
            "3/22",
            "-5/22"
        ],
        [
            "-2/11",
            "1/11",
            "2/11"
        ]
    ],
    "verification_product": [
        [
            "1",
            "0",
            "0"
        ],
        [
            "0",
            "1",
            "0"
        ],
        [
            "0",
            "0",
            "1"
        ]
    ]
}