Question: Question 1 [5] Let o E R and consider the transformation T : R4 -> R3 defined by T((X1, X2, X3, TA)) = (ax1 +

Question 1 [5] Let o E R and consider the transformation T : R4 -> R3 defined by T((X1, X2, X3, TA)) = (ax1 + 5.2 + 2.4, a.1 + 5x2 + (@ - 30).x3 + 2.x4, (0 -3)x4) for cach (1, 12, X3, XA) ER (a) Find the standard matrix for T in terms of a. NE (b) For which values of a will the standard matrix of T have a rank of 3? (c) If a = 0, find the nullity of the transpose of the standard matrix for T. (2)

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