Exercise 5 Consider P2(R), the space of quadratic polynomials with real coef- ficients. a) Show that r + x², a² – 1, r +5 is a base of P2(R). b) For each of the polynomial p = 2 +2r + 5x2, r2-...

Exercise 5<br>Consider P2(R), the space of quadratic polynomials with real coef-<br>ficients.<br>a) Show that r + x², a² – 1, r +5 is a base of P2(R).<br>b) For each of the polynomial p = 2 +2r + 5x2, r2- 2r-7,2r2 - 7r 29, find its<br>matrix M(p) in the basis r + r², 2² – 1,r + 5 of P2(R).<br>%3D<br>

Extracted text: Exercise 5 Consider P2(R), the space of quadratic polynomials with real coef- ficients. a) Show that r + x², a² – 1, r +5 is a base of P2(R). b) For each of the polynomial p = 2 +2r + 5x2, r2- 2r-7,2r2 - 7r 29, find its matrix M(p) in the basis r + r², 2² – 1,r + 5 of P2(R). %3D

Jun 04, 2022

SOLUTION.PDF

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

Exercise 5 Consider P2(R), the space of quadratic polynomials with real coef- ficients. a) Show that r + x², a² – 1, r +5 is a base of P2(R). b) For each of the polynomial p = 2 +2r + 5x2, r2-...

Get Answer To This Question

Related Questions & Answers

Submit New Assignment