SOLUTION: There were fatal errors in the solution of one tutor to this problem, so I'm reposting: Let P be a projection, so that {{{P^2 = P}}}. If {{{c<>1}}}, compute {{{(I-cP)^(-1)}}}.

Algebra ->  College  -> Linear Algebra -> SOLUTION: There were fatal errors in the solution of one tutor to this problem, so I'm reposting: Let P be a projection, so that {{{P^2 = P}}}. If {{{c<>1}}}, compute {{{(I-cP)^(-1)}}}.      Log On

Then   =  = (since ) =  = 


      ( apply the formula for the sum of an infinite geometric progression ) 


      =  =  = .