solve these

1.* Let v E R3 be a non-zero vector and A be an 3 x 5 matrix whose first column is v. The solution set of Ax = 0 is D Span 4 (a Write the solution set of Ax = v. (b) Let B be the 3 x 4 matrix formed by the first 4 columns of A. Write the solution set of Ba = 0. 2.* Let T : R" - Rm be a linear transformation, and a1, a2, ..., ak E R" be given vectors. Show that if {T(al), T(a2), ..., T(ak) } is linearly independent, then {a1, a2, ..., ak} is also linearly independent