1. Below is the Rated Consumption for a train system from city X to various destination in the city: 

Distance Between Cities (km)	Electricity Consumption (kw/h)
180	20
90	10
200	22
60	6
300	7
30	2
200	30
180	25
400	44
90	7

The table above is the data of the usage of a city's operational train. Help the city to analyze the data by: a. Calculating Covariance Matrix values, Eigen Vector of the Covariance Matrix, and the Eigen Value! b. Then reduce the dimensions to one dimension using the Principal Component Analysis! Explain the solution steps!