using Matlab or Octave to solve the matrix?

Anonymous
timer Asked: Nov 4th, 2016

Question description

the question in the attachment

Math 471/571 Fall 2016 Homework: Due Friday, 11/4. 101 100 200 −99 2 5 102 101 197 −97 −1 9 For 𝐴 = ( ) and 𝑏⃗ = ( ), the exact solution to 𝐴𝑥 = 𝑏⃗ is 𝑥 = ( ). 303 300 602 −297 1 17 −202 −200 −400 199 3 −7 Use Matlab (or something similar) for this problem. Set the display to format long . a) Find Κ ∞ (𝐴). b) According to the heuristic given in class, how many digits of accuracy would you expect in a computed solution to 𝐴𝑥 = 𝑏⃗? (Matlab uses double precision arithmetic, which is about 16 digit arithmetic). c) Using the built-in solve routine, find an approximate solution 𝑥̃ for 𝐴𝑥 = 𝑏⃗. d) Calculate the relative error (using the infinity norm) for the approximate solution from part (c). e) How many significant digits did you get in the approximate solution?

Tutor Answer

(Top Tutor) Studypool Tutor
School: UCLA
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags
Study Guides

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors