cristina89
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Homework Statement
V is a subspace of the vector space R^{3} given by:
V = {(x, y, z) E R^{3} / x + 2y + z = 0 and -x + 3y + 2z = 0}
Find a subspace W of R^{3} such that R^{3} = V\oplusW
I'm really lost in this. My teacher didn't give any example of how to solve this kind of exercise... Can anyone help me how to start and develope this?