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()
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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]
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