Matrices and Eigenvectors

1. Convert the linear system of equations to a diagonally dominant matrix. 2 Use the Gauss-Seidel method to obtain a solution to the matrix 3. Sketch the Greschgorin disks for the following matrix, Use the Power method to find the largest eigenvalue and its corresponding eigenvector of the matrix. Calculate the three eigenvalues of the matrix. Deflate the matrix.

Eigenvector estimation

please see attachment.

Using Matlab to solve non-linear equations

Hi, I need help in using Matlab to build an m file for solving non-linear equations using the Newton-Raphson method (or another recommended method.) I need a clear explanation of the process of creating an m file, and also using it to find the roots of the following two equations as examples: 1) f(x) = exp(-x) - sin((pi/2)*x) 2) x^5 - 17*x^4 + 124*x^3 - 508*x^2 + 1035*x - 875 = 0 The method must also find complex roots if they exist.

Solving non-linear equations the graphical, Bisection, Newton-Raphson, Regula Falsi or Muller's method.

Solve the equation tanh(1/x) / (1/x) = 0.95 Using the graphical, Bisection, Newton-Raphson, Regula Falsi or Muller methods. Solve the equation 1+1/[cos(x)*cosh(x)] - ax*[tan(x)-tanh(x)] Using Mueller's method

Langrange Interpolation

please see attached pdf, comments & suggestions welcome. Thank you.