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    In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads to

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    In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads to

    A Diagonal matrix B

    Lower triangular matrix

    C

    Upper triangular matrix

    D Singular matrix Open in App Solution

    The correct option is C Upper triangular matrix

    Ingauss eliminatipn method for solving system of linear algebraic equation, the equation are reduce to an equivalent upper-triagular matrix.

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    [Solved] In the solution of simultaneous equations by the Gauss elimi

    Explanation: Gauss elimination method: It is a method to solve the linear system of the form Ax = b, by bringing an augmented matrix into the upper triangle

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    In the solution of simultaneous equations by the Gauss elimination method for solving equations, triangularization leads to

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    singular matrix

    upper triangular matrix

    diagonal matrix

    lower triangular matrix

    Answer (Detailed Solution Below)

    Option 2 : upper triangular matrix

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    Detailed Solution

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    Explanation:Gauss elimination method:

    It is a method to solve the linear system of the form Ax = b, by bringing an augmented matrix into the upper triangle matrix.

    For example: Solve, y + Z = 2, 2X + 3Z = 5, X + Y + Z = 3

    The augmented matrix of the given equations is

    = [011220351113] = [203501121113]

    Interchanging R1 and R2

    = [10325201121113] R1 -----> R1/2 = [103252011201−1212] R3 -------> -R1 +R3 =

    [103252011200−32−32]

    R3 -------> -R2 + R3

    = [10325201120011] R3 --------> -2R2/3

    This is the upper triangular matrix after various operations.

    So, By comparing we get

    Z = 1, y +Z = 2, X+32Z=52

    So, The values are x = 1, y = 1, z = 1

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