e closed under addition?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 36E
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![Problem #10: Which of the following sets are closed under addition?
Problem #10:
(i) The set of all vectors in R² of the form (a, b) where b = a.
(ii) The set of all 2 × 2 matrices that have the vector [-1 1] as an eigenvector.
(iii) The set of all polynomials in P2 of the form a + a₁ x + a₂ x² where ao = a².
(A) (ii) and (iii) only (B) (i) only (C) (i) and (iii) only (D) (iii) only (E) (ii) only (F) none of them
(G) (i) and (ii) only (H) all of them
Select ✓](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F324d2399-7c16-4255-9612-7ea336b734b4%2F6c68ff92-49da-4710-a4b5-f609844195ac%2Fzy32ja9_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #10: Which of the following sets are closed under addition?
Problem #10:
(i) The set of all vectors in R² of the form (a, b) where b = a.
(ii) The set of all 2 × 2 matrices that have the vector [-1 1] as an eigenvector.
(iii) The set of all polynomials in P2 of the form a + a₁ x + a₂ x² where ao = a².
(A) (ii) and (iii) only (B) (i) only (C) (i) and (iii) only (D) (iii) only (E) (ii) only (F) none of them
(G) (i) and (ii) only (H) all of them
Select ✓
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