|\^/|     Maple V Release 5 (University of Nevada, Reno)
._|\|   |/|_. Copyright (c) 1981-1997 by Waterloo Maple Inc. All rights
 \  MAPLE  /  reserved. Maple and Maple V are registered trademarks of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> with(linalg):
Warning, new definition for norm
Warning, new definition for trace

> eigenvects([[3,-2],[2,-2]]);
                      [2, 1, {[2, 1]}], [-1, 1, {[1, 2]}]
> eigenvects([[1,-2],[3,-4]]);
                     [-2, 1, {[1, 3/2]}], [-1, 1, {[1, 1]}]
> eigenvects([[2,-1],[3,-2]]);
                      [-1, 1, {[1, 3]}], [1, 1, {[1, 1]}]
> eigenvects([[1,1],[4,-2]]);
                      [-3, 1, {[1, -4]}], [2, 1, {[1, 1]}]
> eigenvects([[-2,1],[1,-2]]);
                     [-3, 1, {[-1, 1]}], [-1, 1, {[1, 1]}]
> eigenvects([[5/4,3/4],[3/4,5/4]]);
                     [1/2, 1, {[-1, 1]}], [2, 1, {[1, 1]}]
> eigenvects([[4,-3],[8,-6]]);
                     [0, 1, {[1, 4/3]}], [-2, 1, {[1, 2]}]
> eigenvects([[3,6],[-1,-2]]);
                      [0, 1, {[-2, 1]}], [1, 1, {[-3, 1]}]
> eigenvects([[1,I],[-I,1]]);
                      [0, 1, {[-I, 1]}], [2, 1, {[I, 1]}]
> eigenvects([[2,2+I],[-1,-1-I]]);
                   [-I, 1, {[-1, 1]}], [1, 1, {[-2 - I, 1]}]
> eigenvects([[5,-1],[3,1]]);
                       [4, 1, {[1, 1]}], [2, 1, {[1, 3]}]
> eigenvects([[-2,1],[-5,4]]);
                      [-1, 1, {[1, 1]}], [3, 1, {[1, 5]}]
> eigenvects([[3,-2],[4,-1]]);
       [1 + 2 I, 1, {[1/2 + 1/2 I, 1]}], [1 - 2 I, 1, {[1/2 - 1/2 I, 1]}]
> eigenvects([[-1,-4],[1,-1]]);
           [-1 + 2 I, 1, {[1, - 1/2 I]}], [-1 - 2 I, 1, {[1, 1/2 I]}]
> eigenvects([[2,-5],[1,-2]]);
            [I, 1, {[1, 2/5 - 1/5 I]}], [-I, 1, {[1, 2/5 + 1/5 I]}]
> eigenvects([[2,-5/2],[9/5,-1]]);
   [1/2 + 3/2 I, 1, {[1, 3/5 - 3/5 I]}], [1/2 - 3/2 I, 1, {[1, 3/5 + 3/5 I]}]
> eigenvects([[1,-1],[5,-3]]);
        [-1 + I, 1, {[2/5 + 1/5 I, 1]}], [-1 - I, 1, {[2/5 - 1/5 I, 1]}]
> eigenvects([[1,2],[-5,-1]]);
         [3 I, 1, {[-1/5 - 3/5 I, 1]}], [-3 I, 1, {[-1/5 + 3/5 I, 1]}]
> eigenvects([[1,-5],[1,-3]]);
        [-1 + I, 1, {[1, 2/5 - 1/5 I]}], [-1 - I, 1, {[1, 2/5 + 1/5 I]}]
> eigenvects([[-3,2],[-1,-1]]);
              [-2 + I, 1, {[1 - I, 1]}], [-2 - I, 1, {[1 + I, 1]}]
> eigenvects([[-3,9],[-1,-3]]);   
             [-3 + 3 I, 1, {[-3 I, 1]}], [-3 - 3 I, 1, {[3 I, 1]}]
> eigenvects([[2,1],[0,2]]);
                               [2, 2, {[1, 0]}]
> eigenvects([[3,-4],[1,-1]]);
                               [1, 2, {[2, 1]}]
> eigenvects([[4,-2],[8,-4]]);
                               [0, 2, {[1, 2]}]
> eigenvects([[-3/2,1],[-1/4,-1/2]]);
                               [-1, 2, {[2, 1]}]
> eigenvects([[-3,5/2],[-5/2,2]]);   
                              [-1/2, 2, {[1, 1]}]
> eigenvects([[1,-4],[4,-7]]);    
                               [-3, 2, {[1, 1]}]
> eigenvects([[-5/2,3/2],[-3/2,1/2]]);
                               [-1, 2, {[1, 1]}]
> eigenvects([[2,3/2],[-3/2,-1]]);    
                              [1/2, 2, {[-1, 1]}]
> eigenvects([[3,9],[-1,-3]]); 
                               [0, 2, {[-3, 1]}]
> quit