Thread: Dimension of a subspace

Find a basis of the subspace of R^4 defined by the equation
2(x1)-(x2)+2(x3)+4(x4)=0

Originally Posted by noles2188

Find a basis of the subspace of R^4 defined by the equation
2(x1)-(x2)+2(x3)+4(x4)=0

Since you can choose freely x1,x2,x3 and then x4 is uniquely determined, choose values for x1,x2,x3 that'll give you three lin. independent vectors.

Tonio