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QUESTION 4 a) Given the transformation T: M2x2 - R defined by T [(2 2)] = 20-b+c-2d. Determine whether T' is a linear transformation. (7 marks) b) Let 7: R2 - R+ be a linear transformation defined by -xty 2x - y x- y -3x + 3y/ i) Find the standard matrix A for the above transformation. ii) Find the kernel of T. iii) Find a basis for the range of T. iv) Find nullity (7) and rank (T). (8 marks)\f

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