Determine the kernel and range of each of the following transformations. Showthat dim
Chapter 4, Problem 16(choose chapter or problem)
Determine the kernel and range of each of the following transformations. Showthat dim ker(T) + dim range{T) = dim domain(T) for each transformation. (a) T(x, y, z) = (x, 0, 0) ofR3 R3 (b) T(x, y, z) = (x + y, z) ofR3 R2 (c) T(x,y,z) = x + y + z ofR3R (d) T(x, y) = (x, 2x, 3x) ofR2 R3 (e) T(x, y) = (3x, x - y, y) of R2 R3
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