Let S = {ax? + bx + a : a, b ɛ R}. Then a basis and the dimension of S are (a) basis: x2, x + 1; dimension = 2 (b) basis: a2 +1,x; dimension = 2 (c) basis: a2, x, 1; dimension = 3 (d) none
Let S = {ax? + bx + a : a, b ɛ R}. Then a basis and the dimension of S are (a) basis: x2, x + 1; dimension = 2 (b) basis: a2 +1,x; dimension = 2 (c) basis: a2, x, 1; dimension = 3 (d) none
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Let S
{ax? + bx + a : a, b e R}. Then a basis and the dimension of S are
(a) basis: x2, x +1; dimension
(b) basis: a? +1, x; dimension = 2
|(c) basis: x2, x, 1; dimension
3
(d) none
(a) O
(b) O
(c) O
(d) O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dedf8bf-8404-45d3-a9e2-b1f48c8e7994%2F4fddbde9-f03e-4827-9f6c-8477b855a7e4%2Fpf3n92q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let S
{ax? + bx + a : a, b e R}. Then a basis and the dimension of S are
(a) basis: x2, x +1; dimension
(b) basis: a? +1, x; dimension = 2
|(c) basis: x2, x, 1; dimension
3
(d) none
(a) O
(b) O
(c) O
(d) O
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