In Numerical and Statistical Computing, which method is

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.