Question: Let Rn be equipped with the inner product (v, w) = vTK w. Let L[v] = rv where r is a row vector of size

Let Rn be equipped with the inner product (v, w) = vTK w. Let L[v] = rv where r is a row vector of size 1 Ã— n.
(a) Find a formula for the column vector a such that (7.12) holds for the linear function L: Rn †’ R.
(b) Illustrate your result when r = (2, -1), using
(i) The dot product
(ii) The weighted inner product
(v, w) = 3v1w1 + 2v2w2,
(iii) The inner product induced by

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