- #1

cristina89

- 29

- 0

## Homework Statement

V is a subspace of the vector space [itex]R^{3}[/itex] given by:

V = {(x, y, z) E [itex]R^{3}[/itex] / x + 2y + z = 0 and -x + 3y + 2z = 0}

Find a subspace W of [itex]R^{3}[/itex] such that [itex]R^{3}[/itex] = V[itex]\oplus[/itex]W

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?