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    Question

    In Numerical and Statistical Computing, which method is

    used for solving linear equations with large datasets?
    A Newton's Method Correct Answer Incorrect Answer
    B Gaussian Elimination Correct Answer Incorrect Answer
    C Lagrange Interpolation Correct Answer Incorrect Answer
    D Gradient Descent Correct Answer Incorrect Answer
    E Euler's Method Correct Answer Incorrect Answer

    Solution

    Correct Option: Gaussian Elimination (B) is used for solving systems of linear equations, particularly when dealing with large datasets. It simplifies the matrix of coefficients to a reduced form, making the solution easier. Why Other Options Are Wrong: A) Newton's Method: Newton’s method is used for finding successively better approximations to the roots (zeros) of a real-valued function, not for solving systems of equations. C) Lagrange Interpolation: This is a polynomial interpolation method used for estimating values between known data points, not solving systems of linear equations. D) Gradient Descent: This is an optimization algorithm used in machine learning, not for directly solving systems of linear equations. E) Euler's Method: Euler’s method is used for solving ordinary differential equations, not for linear systems.

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