$7\mathrm{.}6$ LAB: Finding eigenvalues and eigenvectors with $.$corr$()$ and eig$()$

The forestfires.csv data base contains meteorological information and the area burned for $517$ forest fires that occurred in Montesinho Natural Park in Portugal. The columns of interest are FFMC$,$ DMC$,$ DC$,$ ISI, temp, RH$,$ wind, and rain.

Read in the file forestfires.csv$.$

Create a new data frame X from the columns FFMC$,$ DMC$,$ DC$,$ ISI, temp, RH$,$ wind, and rain, in that order.

Calculate the correlation matrix for the data in X$.$

Calculate the eigenvalues and eigenvectors for the correlation matrix.

Ex: If only the columns FFMC$,$ DMC$,$ DC$,$ and ISI are used, the output is:

$[2\mathrm{.}238670560\mathrm{.}989133760\mathrm{.}459340110\mathrm{.}31285558][[-0\mathrm{.}49479654-0\mathrm{.}4452682-0\mathrm{.}74626070\mathrm{.}00275454]$

$[-0\mathrm{.}544461420\mathrm{.}411275630\mathrm{.}11293664-0\mathrm{.}72225995]$

$[-0\mathrm{.}513574420\mathrm{.}514479270\mathrm{.}036076550\mathrm{.}68574841]$

$[-0\mathrm{.}44156478-0\mathrm{.}606547340\mathrm{.}655010510\mathrm{.}0899005]]$