Solved: Example 6 discusses the vector space p" of polynomials of degree II or le~s

Chapter 4, Problem 26

(choose chapter or problem)

Example 6 discusses the vector space p" of polynomials of degree II or le~s. Operations on polynomials can be performed in linear algebra software by associating a row matrix of size II + I with polynomial 1'(1) of p . The row matrix consists of the coeflicients of pet). using the assocmhon pet) = (lnt" + (I" _ lt" - 1 + .,. + (l1t + (lu -7 [(I" (1,, _ 1 If any term of pet) is explicitly missing. a zero is used for its coefficient. Then the addition of polynomials corresponds to matrix addition. and multiplication of a polynomial by a sC;llar corresponds to scalar multiplication of matrices. With your software. perform each given operation on polynomials. usin!) the matrix association as just described. Let II = 3 and p(t)=2t)+ 51 2 + 1-2. q(t)=t J +3t+5.