Given the matrix50.6 0.1A6 -0.1102find both the Gerschgorin row and column disks, and use them to locate the matrixeigenvalues. Use MATLAB to compute eigenvalues for verification. Draw the disks inthe complex plane (by hand or using MATLAB.)

This MATLAB code calculates the Gerschgorin disks, computes the eigenvalues of the matrix, and then…

Answered: Given the matrix 5 0.6 0.1 A 6 -0.1 1…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.2: Matrices And Systems Of Linear Equations

Problem 1P

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(Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.
(Numerical analysis) Here’s a challenging problem for those who know a little calculus. The Newton-Raphson method can be used to find the roots of any equation y(x)=0. In this method, the (i+1)stapproximation,xi+1,toarootofy(x)=0 is given in terms of the ith approximation, xi, by the following formula, where y’ denotes the derivative of y(x) with respect to x: xi+1=xiy(xi)/y(xi) For example, if y(x)=3x2+2x2,theny(x)=6x+2 , and the roots are found by making a reasonable guess for a first approximation x1 and iterating by using this equation: xi+1=xi(3xi2+2xi2)/(6xi+2) a. Using the Newton-Raphson method, find the two roots of the equation 3x2+2x2=0. (Hint: There’s one positive root and one negative root.) b. Extend the program written for Exercise 6a so that it finds the roots of any function y(x)=0, when the function for y(x) and the derivative of y(x) are placed in the code.

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Given the matrix 5 0.6 0.1 A 6 -0.1 1 02 find both the Gerschgorin row and column disks, and use them to locate the matrix eigenvalues. Use MATLAB to compute eigenvalues for verification. Draw the disks in the complex plane (by hand or using MATLAB.)