(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
![2393_f85fa01a-cb96-4952-b776-ac6a1bbf5f34.png](https://secure.tutorsglobe.com/CMSImages/2393_f85fa01a-cb96-4952-b776-ac6a1bbf5f34.png)
Demonstrate this property of Mercer kernels by considering the determinant of a two by-two Gram K.