prove the following corollaries

prove the following corollaries and theorems: Corollary 1. If I) is any I: X 1 vector of constants, then 2 = A3! + b is NAu + I}, AEA'). Corollary 2. If y is Npm. 2} and if covtAy, By) = A213" = 0, then A} and By are independent. D The relationship between subvectors 3" and it when the}.F are not independent (2),; 75 O) is given in the following theorem. Corollary 1. The moment generating function for y p. is Maw\") = Evens