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gibson:teaching:fall-2014:math445:solveafb [2014/09/12 10:42] (current)
gibson created
Line 1: Line 1:
 +<code matlab>
  
 +% A script file to solve the following 5 x 5 system ​
 +%
 +%
 +%       c f1 + f2  =  0
 +%  f2 - 2 f3 + f4  =  5
 +%       f1 + c f3  =  4
 +%     3 f1 + 7 f5  = -1
 +%       f2 - c f4  =  2
 +%
 +% where c = sqrt(2);
 +%
 +% Rewrite this as an Ax=b problem, or Af=b. 
 +
 +% c  1  0  0  0    f1      0
 +% 0  1 -2  1  0    f2      5
 +% 1  0  c  0  0    f3  =   4
 +% 3  0  0  0  7    f4     -1
 +% 0  1  0 -c  0    f5      2
 +
 +% Here's a slick way to enter the above matrix
 +
 +c = sqrt(2);
 +A = zeros(5,5);
 +
 +A(1, [1 2]) = [ c 1 ];
 +A(2, [2 3 4]) = [ 1 -2 1 ];
 +A(3, [1 3]) = [ 1 c ];
 +A(4, [1 5]) = [ 3 7 ];
 +A(5, [2 4]) = [ 1 -c ];
 +
 +b = [0 5 4 -1 2]';
 +
 +f = A\b;
 +</​code>​
gibson/teaching/fall-2014/math445/solveafb.txt ยท Last modified: 2014/09/12 10:42 by gibson