For (a), (b), and (c) show all work and explain it clearly please

O 4 (a) Let A = 2 and note that rref(A) = 0 OHOO Find 1 -1 0 0 OON 3 -7 O O (i) a basis for Row(A). What is the dimension of Row(A)? (ii) a basis for Col(A). What is the dimension of Col(A)? (iii) a basis for Nul(A). What is the dimension of Nul(A)? (b) Let A be an m x n matrix, u E Row(A), and v E Nul(A). Show that u . v = 0. (c) Let {u1, u2, u3, u4} be a set of vectors in RA and A = uj u2 u3 u4 . Show that u1, u2, u3, u4 are linearly dependent in R4 if and only if Span(u1, u2, u3, U4) * R