CH2.Exercises - Group2 최대근

558 days ago by maxroot123

print 'problem 1-(1)' A = matrix(3, 3, [1, 7, -2016, 1, -2, +3, 1, 1, 1]) print A print '\nproblem1-(3)' b = matrix(3, 1, [1, 17, 9]) print A.augment(b) print '\nproblem 3' A = matrix(3, 5, [1, 4, 5, -9, -7, 0, 2, 4, -6, -6, 0, 0, 0, -5, 0]) b = matrix(3, 1, [1, 2, 3]) print A.augment(b).rref() print '\nproblem 4' A = matrix(3, 4, [1, 2, -1, -2, 0, 2, -2, 3, 0, 0, 0, 2]) print A.rref() B = matrix(3, 5, [0, 1, 0, 0, 5, 0, 0, 1, 0, 4, 0, 1, 0, -2, 3]) print B.rref() print '\nproblem 5' A = matrix(4, 4, [2, 1, 1, -2, 3, -2, 1, -6, 1, 1, -1, -1, 5, -1, 2, -8]) b = matrix(4, 1, [1, -2, -1, 3]) print A.augment(b).rref() print '\nproblem 6' A = matrix(3, 3, [1, 2, -3, 1, 3, 1, 2, 5, -4]) b = matrix(3, 1, [4, 11, 13]) print A.augment(b).rref() print '\nproblem 7' A = matrix(4, 4, [1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 1, -2, 0, 1, 0, 0]) b = matrix(4, 1, [0,0,0,3]) print A.augment(b).rref() print'\nproblem P3' A = matrix(3, 3, [1, 1, 1, 1, -1, 1, 4, 2, 1]) b = matrix(3, 1, [4, 6, 9]) print A.augment(b).rref() 
       
problem 1-(1)
[    1     7 -2016]
[    1    -2     3]
[    1     1     1]

problem1-(3)
[    1     7 -2016     1]
[    1    -2     3    17]
[    1     1     1     9]

problem 3
[   1    0   -3    0    5 -6/5]
[   0    1    2    0   -3 -4/5]
[   0    0    0    1    0 -3/5]

problem 4
[ 1  0  1  0]
[ 0  1 -1  0]
[ 0  0  0  1]
[0 1 0 0 5]
[0 0 1 0 4]
[0 0 0 1 1]

problem 5
[     1      0      0 -17/11      0]
[     0      1      0   9/11      0]
[     0      0      1   3/11      0]
[     0      0      0      0      1]

problem 6
[1 0 0 1]
[0 1 0 3]
[0 0 1 1]

problem 7
[1 0 0 0 3]
[0 1 0 0 3]
[0 0 1 0 2]
[0 0 0 1 1]

problem P3
[ 1  0  0  2]
[ 0  1  0 -1]
[ 0  0  1  3]
problem 1-(1)
[    1     7 -2016]
[    1    -2     3]
[    1     1     1]

problem1-(3)
[    1     7 -2016     1]
[    1    -2     3    17]
[    1     1     1     9]

problem 3
[   1    0   -3    0    5 -6/5]
[   0    1    2    0   -3 -4/5]
[   0    0    0    1    0 -3/5]

problem 4
[ 1  0  1  0]
[ 0  1 -1  0]
[ 0  0  0  1]
[0 1 0 0 5]
[0 0 1 0 4]
[0 0 0 1 1]

problem 5
[     1      0      0 -17/11      0]
[     0      1      0   9/11      0]
[     0      0      1   3/11      0]
[     0      0      0      0      1]

problem 6
[1 0 0 1]
[0 1 0 3]
[0 0 1 1]

problem 7
[1 0 0 0 3]
[0 1 0 0 3]
[0 0 1 0 2]
[0 0 0 1 1]

problem P3
[ 1  0  0  2]
[ 0  1  0 -1]
[ 0  0  1  3]