Question: From the list in Exercise 7.5.1, choose different inner products on the domain and target space, and then determine the adjoint of the matrix A.

From the list in Exercise 7.5.1, choose different inner products on the domain and target space, and then determine the adjoint of the matrix A.
Exercise 7.5.1
Choose one from the following list of inner products on R2. Then find the adjoint of

when your inner product is used on both its domain and target space.
(a) The Euclidean dot product
(b) The weighted inner product
(v, w) = 2v1 w1 + 3v1 w1
(c) The inner product (v, w) = vT K w defined by the positive definite matrix

-1 3 2 -I 1 4 K=

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