Let T:V->W Be A Linear Transformation
Where V and W are vector spaces over a Field F
let a={v1,v2,...,vn} be a basis for V and b={w1,w2,....,wm} be a basis for W

a) Prove that T is surjective if and only if the columns of [T]ba span Fn
b) Prove that T is injective if and only if the columns of [T]ba are linearly independent in Fn