1. Consider the following 3 systems of equations. Which 2 of them are equivalent
with one-another
(a)
2x - 2y + z = 9
x + y + z = 2
y + z = 1
(b)
x + y = 0
x - y = 2
3x + 3y + z = 2
(c)
2x - 3y + 2z = 9
x - y + 2z = 6
y + z = 1

Question

1. Consider the following 3 systems of equations. Which 2 of them are equivalent
with one-another
(a)
2x - 2y + z = 9
x + y + z = 2
y + z = 1
(b)
x + y = 0
x - y = 2
3x + 3y + z = 2
(c)
2x - 3y + 2z = 9
x - y + 2z = 6
y + z = 1

anonymous · Answer

I have put them into matrices; A being [2 -2 1 9] B being [1 1  0 0] and C being [2 -3 2 9]
                                                         [1  1  1 2]           [1 -1 0 2]                   [1 -1 2 6]
                                                         [0  1  1 1]           [3  3  1 2]                   [0  1  1 1]
Where do I go from here? I could not find a connection between them to find out which ones are equivalent