Consider the following matrices A and the linear transformation T defined by each A

Chapter 4, Problem 22

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Consider the following matrices A and the linear transformation T defined by each A. Find the rank r of A, dim domain(T), dim range(T), dim ker(T), and nullity(T) for each matrix A. (a) A [ 0 6 ] ) A [ 0 0 :J 1 2 1 0 0 0 0 1 (c) A [ ] 0 0 1 0 (d) A= 1 1 l 2 -1 1 4 -2 6 -3 8 -4

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