Let T: M22 - R be the linear transformation defined by T(A) = tr(A). (a) Which, if any, of the following matrices are in ker(T)? (Select all that apply.) 1 2 5 - 08 6 0 1 1 3 0 - 1 none of these (b) Which, if any, of the following scalars are in range(T)? (Select all that apply.) 0 2 O V2/2 none of these (c) Describe ker(T) and range(T). Kernel: о : a and d in R • {{ :) {{::) • {{ ::] in B] -{[]2, b, and ein e in ] {[ed],b . in B] : b and c in R O O : a, b, c, and din R 2/2 none of these (C) Describe ker(T) and range(T). Kernel: 00 O O ob : b and c in R со {{ o]: vand o in B] R] { in B] { 2 } din R -a b : a, b, and c in R са a, b, c, and d in R Range: {0} O {a: a in R} O {a: a 0} O {a: a in Z} O {a: a > 0}