Question: Q2. (10 points) Let T : R4 - R4 be the linear map given by: x + z y T W - Z Z (a)

Q2. (10 points) Let T : R4 - R4 be the linear map given by: x + z y T W - Z Z (a) (4 points) Find a basis of image(T). (b) (4 points) Find a basis of null(T). (c) (2 points) Is it true that R4 = image(T) @ null(T)

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