Which of the following sets are closed under scalar multiplication? (i) The set of all vectors in R² of the form (a, b) where a -5b=0. (ii) The set of all 2 × 2 matrices whose trace is equal to 2. (iii) The set of all polynomials in P₂ of the form að + a₁ x + a₂ x² where the product ao a₁ a2 ≤ 0. A) (i) only (B) (i) and (iii) only (C) all of them (D) (ii) only (E) (ii) and (iii) only (F) (i) and (ii) only G) (iii) only (H) none of them

Which of the following sets are closed under scalar multiplication? (i) The set of all vectors in R² of the form (a, b) where a -5b=0. (ii) The set of all 2 × 2 matrices whose trace is equal to 2. (iii) The set of all polynomials in P₂ of the form að + a₁ x + a₂ x² where the product ao a₁ a2 ≤ 0. A) (i) only (B) (i) and (iii) only (C) all of them (D) (ii) only (E) (ii) and (iii) only (F) (i) and (ii) only G) (iii) only (H) none of them

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 35E

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