Let V be a vector space, and T : V → V a linear transformation such that T(2√1 – 3√₂) = 27₁ + 502 and T(−3v1 + 5√₂) = −4ở1 – 4ʊ2. Then T(v₁) = V₁ + V₂, T(v₂) = v₁+ → T(40₁ − 402) = ₁+ ₂. - V2. V2,

The owl population in a year n can be divided into juveniles, subadults andadults. Adults produce, on average, 0.4 juveniles each year. Approximately53% of juveniles survive to be subadults the next year, while 73% of subadultssurvive to become adults. Approximately 89% of the adult population survivesfrom one year to the next.1. Write down the equations for juveniles, subadults and adults in the year n+1 as functions of the juvenile,subadult and adult populations at year n. Explain all terms.2. Carefully explaining your notation and the terms, write down a matrix equation of the form pn+1 = Apn. 3. If there are 21 juveniles, 17 subadults and 53 adults this year, how many of each would we expect nextyear? 4. What is the equation that would describe the population in 5 years? (Do not calculate it!)

Graph the solution set of x − 3 y > − 3.

Find the general solution