Use the rank/nullity theorem to find the dimensions of the kernels and ranges of the

Chapter 4, Problem 1

(choose chapter or problem)

Use the rank/nullity theorem to find the dimensions of the kernels and ranges of the linear transformations defined by the following matrices. State whether the transformations are one-to-one or not. (a) A [ (c) C [ 7 1 0 3 5 1 ] r l (e) E [ i (f) F = 6 10 -2 -1 -4 3 8 [- - ] 0 2 -1 0 -4 2

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