ch8 problem5 by 김도형

371 days ago by g1.kjiwon

A = matrix(QQ,[[3,0,1],[4,-2,8],[-4,0,-1]]) print A print print A.eigenvalues() E = identity_matrix(3) print print (-2*E-A).echelon_form() print print (E-A).echelon_form() print print A.right_eigenvectors() print print A.is_diagonalizable() 
       
[ 3  0  1]
[ 4 -2  8]
[-4  0 -1]

[-2, 1, 1]

[1 0 0]
[0 0 1]
[0 0 0]

[  1   0 1/2]
[  0   1  -2]
[  0   0   0]

[(-2, [
(0, 1, 0)
], 1), (1, [
(1, -4, -2)
], 2)]

False
[ 3  0  1]
[ 4 -2  8]
[-4  0 -1]

[-2, 1, 1]

[1 0 0]
[0 0 1]
[0 0 0]

[  1   0 1/2]
[  0   1  -2]
[  0   0   0]

[(-2, [
(0, 1, 0)
], 1), (1, [
(1, -4, -2)
], 2)]

False
 
       
Traceback (click to the left of this block for traceback)
...
SyntaxError: invalid syntax
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_11.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dmFyICdhLGIsYyxkLGUsZixnLGgsaScKUCA9IG1hdHJpeChbWydhJywnYicsJ2MnXSxbJ2QnLCdlJywnZiddLFsnZycsJ2gnLCdpJ11dKQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpj6F1jl/___code___.py", line 2
    var 'a,b,c,d,e,f,g,h,i'
                          ^
SyntaxError: invalid syntax