ASSESSED QUESTIONS Question 1. Let K : {($707y70)T : $73; 6 R}. (a) Prove that K is a subspace of R4. (b) Find a basis of K 7 and state its dimension. (c) Give an example of a linear tranformation A : R4 > R3 Whose kernel is K. You must prove that your map is linear and that its kernel is K. (d) Does there exist a linear transformation B : R4 e R such that kerB : K ? Either give an example of such a linear transformation B 7 or prove that no such B exists