How do i find a spanning sequences of a subspace. IE. {(x, y, z) E(Belongs to ) R^3 : 2x + y -3z=0}
I can prove it is a subspace but i need the spanning sequence.
Any help is appriciated Thanks
Any vector (x, y, z), in this subspace satisfies 2x+ y- 3z= 0 or y= 3z- 2x. That is any such vector is of the form < x, 3z- 2x, z>= <x, -2x, 0>+ <0, 3z, z>= x<1, -2, 0>+ z<0, 3, 1>. Can you see what a basis must be?