Let T: R" -> nm be a linear transformation and {u t. u 2
Chapter , Problem 75(choose chapter or problem)
Let T: R" -> nm be a linear transformation and {u t. u 2 ..... u.,} be a basis for R". (a) Prove that S = {T(u1). T(u2), .... T (u.,)} is a generating set for the range ofT. (b) Give an example to show that S need not be a basis for the range ofT.
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