Consider the linear transformation T defined by each of the following matrices

Chapter 4, Problem 15

(choose chapter or problem)

Consider the linear transformation T defined by each of the following matrices. Determine the kernel and range of each transformation. Show that dim ker(T) + dim range{ T) = dim domain(T) for each transformation. (a) [ 3 1 (c) [ 4 2 (e) [ 0 1 2 1 ] WJ [ ] (Q [ : ] (b) [ (d) [ -

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