Let a be a fixed nonzero vector in R^n
a. Show that the set S of all vectors x such at ax=0 is a subspace of R^n.
b. show that if k is a nonzero real number, then the set A of all vectors x such that ax=k is an affine subspace of R^n, but not a linear subspace.how do i even show this.. I am so...
show that S and T have the same span in R^3 by showing that the vectors in S are in the span of T and vise versa.
S= {(1,0,0), (0,1,0)}
T= {(1,2,0), (2,1,0)}im a little confused on how to start off on this problem.. help?!