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## Homework Statement

Find a set of basic solutions and express the general solution as a linear combination of these basic solutions

a + 2b - c + 2d + e = 0

a + 2b + 2c + e = 0

2a + 4b - 2c + 3d + e = 0

## Homework Equations

3. The Attempt at a Solution [/B]

i reduced it to:

1 2 0 0 -1 0

0 0 1 0 2/3 0

0 0 0 1 1 0

a = -2s + t

c = -2/3t

d = -t

I'm just not sure how i find solutions now. It could be literally anything could it not?