2 1 :1 U 13 1 T 1 3 U T U 8 1 2 1 5 25 3 19 U 1 2 U 1 U U A = U 3 1 1 1 9 and R = U U U 1 41 U U 1 2 T 1 5 2 ID U U U U U 1 U 2 1 4 1 1'? 2 34 U U U U U U U You may assume that R is the reduced rowechelon form of A. Let El. . .. .5; E IE5 denote the columns of A, in left-toright order. {a} [3 points} Which of the vectors 53, E4, and E5 belong to the span of E1 and 52'? No justication necessary. {In} (4 points) What is the largest number of linearly independent vectors that can be chosen from among Eh . . . y 57'? Nojnstication necessary. {c} (9 points) Does E5 belong to the span of E1, 52, and 54? If not, explain why not; if so, mile 55 explicitly as a linear combination of El, 52, and 5;. {d} [9 points} Are 5'1, 5'2, 55, and ET linearly independent? If so, explain why; if not, provide a nontrivial linear dependence relation among these four vectors (this means an equation of the form (3151 +0252 +35.55 +6157 = '3 with at least one of the coefcients nonzero)