In order to ascertain urban consumers' preferences for attributes of 'online store' for the purchase of apparel and shoes, an upcoming online retail company surveyed in Kolkata. The respondents were asked $12$ questions on a scale of $1$ strongly disagree and $5-$strongly agree. Principal Component Analysis was used to extract the factors influencing consumer preferences. The questions pertaining to 'online store' and the result output are given below:

$1.$ Online store has latest trends$/$fashion products

$2.$ It is convenient to buy apparel and shoes at online store

$3.$ Online store saves consumer time for the purchase of apparel

$4.$ Price is always cheaper in online store

$5.$ Online stores offer attractive sales promotions

$6.$ Online stores recommend the right product to consumers

$7.$ Online store has hassle free return policy

$8.$ Online store makes on time delivery at your doorstep

VAR$007$

$0,896$

$-0\mathrm{.}188$

VAR$008$

$0\mathrm{.}109$

$0\mathrm{.}93$

VAR$009$

$-0\mathrm{.}548$

$-0\mathrm{.}554$

$-0\mathrm{.}490$

VAR$010$

$-0\mathrm{.}116$

$0\mathrm{.}915$

$0\mathrm{.}028$

VAR$011$

$2-0-273$

VAR$012$

$?-0\mathrm{.}326$

$?0885$

$7-0\mathrm{.}171$

$20\mathrm{.}123$

$-0\mathrm{.}023$

$-0\mathrm{.}055$

$?0-863$

calculate the eigen values, communality table and the loadings of last two variables of three components of rotated component matrix. Discuss your analysis in detail and name the factors. 

show all the calculations and describe the factor extraction process.