Homework Statement
Suppose V = R^4 and let U = <X>, where X = {(1,0,-2,1),(2,-2,0,3),(0,2,-4,-1),(-1,2,-2,-2)}
Find linear dependence on X and use it to find a smaller generating set of U. Repeat the step until you reach a basis for U.
Homework Equations
The Attempt at a Solution...