(6) (7 numbers) Consider the transformation T: R³ R³ defined as T(E)-[ 3x-2y y+z=x z + 2y (a) Show that T is a linear transformation (you must show that all the requirements of the definition are satisfied). (b) Find the standard matrix A of T and show that the A is invertible and find its inverse.
(TED) - E (c) Show that TA-1 · y for all € R³
(6) (7 numbers) Consider the transformation T: R³ R³ defined as T(E)-[ 3x-2y y+z=x z + 2y (a) Show that T is a linear tr
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(6) (7 numbers) Consider the transformation T: R³ R³ defined as T(E)-[ 3x-2y y+z=x z + 2y (a) Show that T is a linear tr
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