1. Mathematics
2. Geometry and Topology
3. Analytic Geometry
4. Vector Calculus
5. 79839

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Each square n*n region of an image yields a vector of length n^2 such that the components of the vector are the grey levels of the pixels in the square. Let u, v be the vectors obtained from two image patches, let a be the average of the entries in u, let b be the average of the entries in V and let e be the vector of length n^2 such that each entry of e is equal to 1. Show that

(u-a e).(v-b v)=u.v - (n^2 a b)

NOTE: The textbook is "Image Based Information Processing"