Recall that a kernel matrix for a set of input data is a matrix where each i, j entry is the value of the kernel function computed on datum i and datum j. Given kernel matrices A and B in Figure 4.8...

Recall that a kernel matrix for a set of input data is a matrix where each i, j entry is the value of the kernel function computed on datum i and datum j. Given kernel matrices A and B in Figure 4.8 representing different kernel functions on a set of data, is it possible for the underlying kernel function to be:

(a) Symmetric?

(b) Positive semi-definite?

(c) Valid kernel functions?

Figure 4.8