Solution Manual for: Numerical Computing with MATLAB by Cleve B. Moler
John L. Weatherwax July 25, 2007
Chapter 7 (Ordinary Differential Equations)
Problem 7.1
Defining the vector y as v u y= v u (1)
Where r given in terms of components of y is r=
Then we
MAE 107 Problem JDG-NA01 1.) In the Matlab command window, construct an mn matrix A = [Aij ], say, A, in Matlab notation, with m, n each being approximately three or four and not necessarily equal, and Aij being real numbers of your choosing. Then. verify
MAE 107 Problem JDG-NA02 1.) As the first step in Gaussian elimination, i.e. reduction of a given m n matrix A to row echelon form with pivoting, one normally exchanges a pivot row rT (A), whose leading non-zero element has the p greatest absolute value,
MAE 107 Problem JDG-NA03
1.) Write a Matlab function cpucomp that will compare the required CPU time (on whatever platform is used) for solution of the n 1 linear equation Ax = b by means of the Matlab operations x=inv(A)*b and x=A\b, for the case of a ra
MAE 107 Problem JDG-NA04 1.) Download the necessary M-files from the course website or the Mathworks website:
http:/www.mathworks.com/moler/ncmfilelist.html
and work Moler Problems 3.1, 3.2, 3.3, 3.4, 6.1. (If you encounter difficulties with any of Moler'
Midterm Examination MAE 107 Sp09 (Open book and notes. No laptop computers or communication devices are allowed.)1 1.) (25 %) Given the matrix: 1 2 3 A= 6 5 4 7 8 9 a.) write down a single-line Matlab command that will generate the matrix as a Matlab vari
Definition 1: Suppose (h) 0 as h 0, (h) 0 for all h 0. Suppose that there exists C <
and > 0 such that
|f (x)| C(x), x [0, ]
Then, f (x) = O (x) as x 0.
Definition 2: Suppose (h) 0 as h , (h) 0. Suppose that there exists C < and R <
such that
|f (x)| C(