Let T: RR under what conditions of n and m is T guaranteed Not to be Let T: R" Rm mn and A the matrix representation of T. After row reduction of A into Reduced Row Echelon Form, what properties of the columns of A guarantees T is 1-1 Assume T is onto and A is the matrix representation of T. True or False: There is a vector b such that Ax=b is inconsistent. Let A be an n x m matrix n m and assume that for all b in R", Ax=b has a solution in R™. True or False, Ax=0 has only the trivial solution True or False If the linear transformation x→ Ax maps R"→ Rm, then A has n pivot columns.

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