In Exercises 5 through 40, find the matrix of the given linear transformation T with respect to the given basis. If no basis is specified, use the standard basis: 91 = (1, f, t2) for P2,T(fit)) = /(l) + /'(l)(r - 1) from P2 to />2, with respect to the basis = (l, t 1

DISCRETE CHAPTER 2 SECTION 2.1-2.2 Set- collection of “objects” called elements or members We use capital letters or sets o For example, S= {5,7,9} o 5 € S o {55,999,7777} = {5,7,9} Empty set is also known as a null set or void set o Represented as { } or Ø Cardinality of a set- the number of distinct elements of a set o The cardinal number of a set o Represented as |A| The natural number- {1,2,3,4,5,6,7,8} o Represented as o Roster Notation: {1,2,3,4,5,6,7,8} o Set Buidler Notation: {X € /N | x ≤ 100} The set of Intergers {-2, -1, 0, 1, 2,} o Represented as o {X € : 1 ≤ X ≤ 100} The Rational Numbers- numbers that can be written as the ratio of 2 integers a,b