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Consider the mapping R^3 to R^3 T[x,y,z] = [x-2z, x+y-z, 2y] a) Show that T is...

Consider the mapping R^3 to R^3 T[x,y,z] = [x-2z, x+y-z, 2y]

a) Show that T is a linear Transformation

b) Find the Kernel of T

Note: Step by step please. Much appreciated.

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