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solve plzzzz 3. Gradient depends on inner product. Therefore, one variant of gradient descent is obtained by choosing a weighted inner product of R rather

solve plzzzz

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3. Gradient depends on inner product. Therefore, one variant of gradient descent is obtained by choosing a weighted inner product of R" rather than the standard one. In particular, given a symmetric positive definite matrix W E Roxn, we know that (x, y)w :=x Wy defines an inner product of R". (a) Express Vwf (the gradient of f in R" with the weighted inner product (, .)w) in terms of W and Vf (the gradient of f in R" with the standard inner product)

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