{
    "quiz": {
        "name": "8_3 Solution by Gauss Elimination",
        "intro": "<p>Many problem can be approximated by a large systems of linear equations; for example in determining the forces in a large framework or finding currents in a complicated electrical circuit. The method of Gauss elimination provides a systematic approach to finding the solution in these cases.<\/p><p>Gauss elimination is in general the best method we will cover for determining the solution of a system of linear equations and even allows us to understand systems which do not have a unique solution.<br><\/p>",
        "introformat": "1",
        "questionsperpage": "1",
        "grade": "10.00000",
        "navmethod": "free"
    },
    "sections": [
        {
            "firstslot": "1",
            "heading": "Diagonal systems",
            "shufflequestions": 0
        },
        {
            "firstslot": "3",
            "heading": "Triangular systems",
            "shufflequestions": 0
        },
        {
            "firstslot": "5",
            "heading": "Gauss Elimination",
            "shufflequestions": 0
        },
        {
            "firstslot": "8",
            "heading": "Infinitely many solutions",
            "shufflequestions": 0
        },
        {
            "firstslot": "11",
            "heading": "Exercises",
            "shufflequestions": 0
        }
    ],
    "questions": [
        {
            "slot": "1",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-1-1-Solving-three-equations-in-three-unknowns.xml"
        },
        {
            "slot": "2",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-1-2-Exercise-linear-system-diagonal-matrix.xml"
        },
        {
            "slot": "3",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-1-3-Triangular-linear-system.xml"
        },
        {
            "slot": "4",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-1-4-Exercise-linear-system-upper-triangular-matrix.xml"
        },
        {
            "slot": "5",
            "page": "3",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-2-1-General-Gauss-Elimination-+-Final-exercise-on-back-substitution.xml"
        },
        {
            "slot": "6",
            "page": "3",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-2-2-Row-echelon-form.xml"
        },
        {
            "slot": "7",
            "page": "4",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-2-3-3x3-linear-system-unique-solution-Gauss-Elimination.xml"
        },
        {
            "slot": "8",
            "page": "5",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-3-1-Gauss-Elimination-3x3-linear-systems-with-infinitely-many-solutions.xml"
        },
        {
            "slot": "9",
            "page": "6",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-3-2-Engineering-Example_Currents-in-three-loops.xml"
        },
        {
            "slot": "10",
            "page": "6",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-3-3-Engineering-Example-Velocity-of-a-rocket.xml"
        },
        {
            "slot": "11",
            "page": "7",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-8-3\/8-3-3-4-3x3-linear-system-infinite-solutions-Gauss-Elimination.xml"
        }
    ],
    "feedback": [
        {
            "feedbacktext": "",
            "feedbacktextformat": "1",
            "mingrade": "0.00000",
            "maxgrade": "1.00000"
        }
    ]
}