Please solve using R

The data on national track records for women are listed in Table 1.9. (a) Obtain the sample correlation matrix R for these data, and determine its eigenvalues . and eigenvectors. (b) Determine the first two principal components for the standardized variables. Pre- pare a table showing the correlations of the standardized variables with the compo-. nents, and the cumulative percentage of the total (standardized) sample variance : explained by the two components. (c) Interpret the two principal components obtained in Part b. (Note that the first component is essentially a normalized unit vector and might measure the athlet- ic excellence of a given nation. The second component might measure the rela-. tive strength of a nation at the various running distances.) (d) Rank the nations based on their score on the first principal component. Does this ranking correspond with your inituitive notion of athletic excellence for the various countries? You can find the table by googling : Table 1.9 National Track Records for Women It is a very well known exercise