: Which of the following sets are closed under addition? (1) The set of all matrices in M22 such that AT = A. (11) The set of all vectors u in R such that u + (9, 6, 7) = (0, 0,0). (111) The set of all polynomials a+ bx + cx in P2 such that ab = 7c. %3D (A) (1) and (ii) only (B) none of them (C) (i1) only (D) (iii) only (E) (1) and (i1) only (F) () only (G) all of them (H) (11) and (ii) only

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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: Which of the following sets are closed under addition?
(1) The set of all matrices in M22 such that AT = A.
(11) The set of all vectors u in R such that u + (9, 6, 7) = (0, 0,0).
(111) The set of all polynomials a+ bx + cx in P2 such that ab = 7c.
%3D
(A) (1) and (ii) only (B) none of them (C) (i1) only (D) (iii) only (E) (1) and (i1) only (F) () only
(G) all of them (H) (11) and (ii) only
Transcribed Image Text:: Which of the following sets are closed under addition? (1) The set of all matrices in M22 such that AT = A. (11) The set of all vectors u in R such that u + (9, 6, 7) = (0, 0,0). (111) The set of all polynomials a+ bx + cx in P2 such that ab = 7c. %3D (A) (1) and (ii) only (B) none of them (C) (i1) only (D) (iii) only (E) (1) and (i1) only (F) () only (G) all of them (H) (11) and (ii) only
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