(Solved): Problem 1 ( 4 pts) Consider the linear transformation L:R3R2 given by Lx1x2 ...
Problem 1 ( 4 pts) Consider the linear transformation L:R3?R2 given by L??????x1?x2?x3????????=[0x2??x3??] (a) (0.5pts) is L a linear operator? YES/NO (b) (1 pt) Find a basis for Range (L)=L(R3). (c) (1 pt) Find a basis for the kernel of L,ker(L). (d) (0.5 pts) is L onto? YES/NO (e) (0.5pts) is L one-to-one? YES/NO (f) (0.5pts) Consider ordered bases E=???????115????,???132????,???001???????? and F={[10?]?[21?]} for R3 and R2, respectively. Consider further that the reduced row echelon form of Determine the matrix A representing L with respect to bases E and F.