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9 Inner product - Auburn University
web.auburn.eduAn innerproductspaceis a vector space with an inner product. Each of the vector spaces Rn, Mm×n, Pn, and FI is an inner product space: 9.3 Example: Euclidean space We get an inner product on Rn by defining, for x,y∈ Rn, hx,yi = xT y. To verify that this is an inner product, one needs to show that all four properties hold. We check only two ...