On e2 (cf. 3.1-4) let the operator T: e2 e2 be defined by Tx = (gl + ig2, gl - ig2), where x = (gl, g2)' Find T*. Show that we have T*T= TT* = 2I. Find TI and T2 as defined in Prob. 4

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Which of the following expressions cannot be simplified to x – 2?