Question: - Let u and v be (fixed, but unknown) vectors in R. Suppose that T: R R is a linear transformation such that T(u)

- Let u and v be (fixed, but unknown) vectors in R

- Let u and v be (fixed, but unknown) vectors in R". Suppose that T: R" R" is a linear transformation such that T(u) = 7u+v and T(v) = 5u - 2v. Compute (ToT) (v), where To T is the composition of T with itself. Express your answer as a linear combination of u and v. (ToT)(v) = u + (b) Let vand w be (fixed, but unknown) vectors in R", which are not scalar multiples of each others. Suppose that T: R" R" is a linear transformation such that T(v) = V T(7v+6w) = 2v-5w and T(v+1w) = 3v+4w. Compute T(v) and express it as a linear combination of vand w. V + W

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