Vector spaces & linear transformation: s a) assume a linear transformation t from r3 to r3 has 3 eigen vectors, v, 2, v3 associated with the eigen values 1 2 3, respectively. t(v2) t(v3) b) is tonto? provide support for your conclusion c) is t one-to-one? provide support for your conclusion. d) ls [v,, v2, v3) a basis for r3? e) construct a matrix a that can represent t in terms of v1, 2, v3 f) what can be a reduced echelon form for a? g) what can be det(a)? h) what can be the solution of ax0?