Problem #18: Which of the following sets are closed under scalar multiplication? [2 marks] (1) The set of all 2 × 2 matrices A such that A = 1 (ii) The set of all vectors (a, b) in R- such that la + 5b = 0. (i11) The set of all polynomials ax + bx + c in P such that 6- – 4ac s 0. (A) (111) only (B) (i) only (C) all of them (D) (ii) only (E) (ii) and (111) only (F) none of them (G) (i) and (i1) only (H) (i) and (i11) only Problem 18: Select Y
Problem #18: Which of the following sets are closed under scalar multiplication? [2 marks] (1) The set of all 2 × 2 matrices A such that A = 1 (ii) The set of all vectors (a, b) in R- such that la + 5b = 0. (i11) The set of all polynomials ax + bx + c in P such that 6- – 4ac s 0. (A) (111) only (B) (i) only (C) all of them (D) (ii) only (E) (ii) and (111) only (F) none of them (G) (i) and (i1) only (H) (i) and (i11) only Problem 18: Select Y
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 28EQ
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