Question: Consider the linear transformation defined by T : 4 - R3 X H Ax where 1 4 11 7 A = 1 2 -11 -8

Consider the linear transformation defined by T : 4 - R3 X H Ax where 1 4 11 7 A = 1 2 -11 -8 -22 -14 2 25 5 (a) Then T -21 -50 N (b) Find a basis for Ker (T), the kernel of T. -3/5 -51/5 -13/5 4/5 0 0(c) Find a basis for Im (T), the image of T. (d) What are the rank and nullity of T? rank(T) = 2 nullity(T) = 2

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