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Problem 1. Let E E Rmxm that extracts the even part of an m-vector: Ex = (x + Fx)/2, where FERmxm flips x = [x1,

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Problem 1. Let E E Rmxm that extracts the "even part" of an m-vector: Ex = (x + Fx)/2, where FERmxm flips x = [x1, ...,Xml to x = [Xm, ..., xi] . Is E an orthogonal projector, an oblique projector, or not a projector at all? What are its entries

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