Question: 8. Let T be the transformation defined as T = 2x + 6y -2z x+ 3y - z where x, y, z are real numbers.

8. Let T be the transformation defined as T = 2x + 6y -2z x+ 3y - z where x, y, z are real numbers. (a) (5 points) Give the standard matrix A for the transformation T. 6 (b) (5 points) Is in the null space of A? Justify your answer. (c) (10 points) Describe the the null space of A geometrically. Justify your answer by finding a basis for Nul(A). (d) (5 points) Is in the column space of A? Justify your

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