Let T: R³ R2 be defined by T(x, y, z) = (x − y, x — 2z) - a. Show that T is linear. b. Find ker T and a basis for it. c. Find range T. (Hint: the Rank-Nullity Theorem will help you.)

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A: The natural point that comes in our mind is (2,6).

Q: I need b answered

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Q: I need c answered

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