Question: 1. Let T : R4 -> R4 be the linear transformation given by T(v) = Av where A is the matrix . NO 3 A

1. Let T : R4 -> R4 be the linear transformation given by T(v) = Av where A is the matrix . NO 3 A = OI NOO 0 O (a) Is T one-to-one? (b) Is T onto? 2. Let T : P3 -> P3 be the linear transformation given by T(p(x)) = p(x) - p' (x). (a) Is T one-to-one? (b) Is T onto? 3. Let T : R4 -> R4 be the linear transformation given by T(v) = Av where A is the matrix H NO NO A = 1 2 5 (a) Find a basis for the kernel of T. (b) Find a basis for the image (or range) of T

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