a) range 1 0 0 11 00 10 b) range 1 1 01 1 c) span ((1,-1, 1), (−1, 1, 1), (1, 1, −1), (1, 1, 1)) d) span ((1, 2, 3), (2, 4, 6), (3, 6, 9)) e) P3, the space of polynomials of degree less than or equal to 3

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 11E: 11. a. List all the polynomials in that have degree 2. b. Determine which of the polynomials in...
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Determine the dimensions of the following spaces

10
1 10
000
100
b) range 1 1 1
0 1 1
c) span ((1,-1, 1), (−1, 1, 1), (1, 1, −1), (1, 1, 1))
d) span ((1,2,3), (2, 4, 6), (3, 6, 9))
e) P3, the space of polynomials of degree less than or equal to 3
a) range
Transcribed Image Text:10 1 10 000 100 b) range 1 1 1 0 1 1 c) span ((1,-1, 1), (−1, 1, 1), (1, 1, −1), (1, 1, 1)) d) span ((1,2,3), (2, 4, 6), (3, 6, 9)) e) P3, the space of polynomials of degree less than or equal to 3 a) range
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