Practice problem for a test tomorrow and I can't figure it out, please help me out!
Prove or disprove:
(i) If a is not in span{v1,...,vn}, then, for every non-zero c, ca is not in span{v1,...,vn}
(ii) If a and b are not in span{v1,...,vn}, then, for every non-zero c, d, ca + db is not in span{v1,...,vn}
Prove or disprove:
(i) If a is not in span{v1,...,vn}, then, for every non-zero c, ca is not in span{v1,...,vn}
(ii) If a and b are not in span{v1,...,vn}, then, for every non-zero c, d, ca + db is not in span{v1,...,vn}