Question: 18. Determine whether each statement is true or false. Explain. (a) The transformation f : R > lR where f(l:) = mm + b with

18. Determine whether each statement is true or false. Explain. (a) The transformation f : R > lR where f(l:) = mm + b with m, b # U, is a linear transformation. 011 (b) Let T : R3 a R2 be the linear transformation given by matrix A = [ 0 0 1 . Then the range of T is the set of all vectors such that $1 = O. (c) If T is a linear transformation T : R5 > R3, and if {31, 32, 33 is a linearly independent set of vectors in R5, then {171(31) ,T (:2) 7T (33)} spans R3. (d) The columns of AB are in the Col(A) for compatible matrices A and B

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