Answer Happy

PLEASE ONLY NICE HANDWRITING AND I WANT TO SEE STEP BY STEP
SOLUTION!
O = (3,0,6,8,2,7)
E = (6,4,1,4,9,8)
1. (a) (5 points) Prepare an S matrix S6x2 where () and E are binded with their columns, and please specify its possible rank. (b) (5 points) Can you conclude that these columns are independent by looking the first two rows? (c) (5 points) Please calculate Var(E) (Not the statistical variance). (d) (5 points) Please estimate the covariance matrix of S, namely Cou(S) = ? (Not the statistical covariance) (e) (5 points) Calculate Acou(s) = ? (f) (5 points) What about the rank of Cou(S), namely R(Cov(S)), equivalent to 1? d( EE) (g) (10 points) Statistical variance of E can be calculated as of where d is the deviance vector of E. So, what is of? N