(a ) Based on the covariance matrix in (2), what is: (1) the temperature variance at Alice Springs (i.e. 2)? (ii) the temperature covariance between Sydney and Darwin, cov(S, D)? (iii) the temperature covariance between Alice Springs and Perth, cov( A, F (vi) the temperature covariance between Darwin and Sydney, cov(D, S) ? In each case also include the units of the variance and covariance. (b) The principal components of C in equations (1) and (2) are defined by the eigenvector equation: Ce, = le where e are the principal components, 1, are the associated eigenvalues, and the subscript k has the value 1, 2, 3, 4 or 5. It is conventional to order the principal components in terms of descending size of the eigenvalues so that 1 > 1, > 1, > > Using this convention, Table 1 shows the elements of each principal component e, and the corresponding eigenvalues