Let v = m_2 times 2 (r) be the vector space consisting of all 2 times 2 real matrices. define a transformation t: v rightarrow v by t(a) = ap - pa, where p = [0 1 1 0] the transformation t^2: v rightarrow v is defined to be t^2(a) = t(t( for each element of a elementof v. given c elementof r, the transformation c t is defined to be (c t)(a) = c t(a) for each a elementof v 1) prove that for any a elementof v, we have t^2(a) = 2 t(a) p

The population of a small rural town in the year 2006 was 2,459. the population can be modeled by the function below, where f(x residents and t is the number of years elapsed since 2006. f(t) = 2,459(0.92)

Nikita wants to apply for student aid to fund her college education. arrange the steps involved in nikita’s application for financial aid

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain