Show that mercer kernels are all positive definite

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Reference no: EM131107127

(a) Show that Mercer kernels are all positive definite.

(b) Consider a Mercer kernel denoted by k(xi , xj).Such a kernel satisfies the Cauchy-Schwarz inequality

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Demonstrate this property of Mercer kernels by considering the determinant of a two by-two Gram K.

Reference no: EM131107127

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