Suppose V=1 = {A₁A=[%]₂₂ = [a b];Cdmatrixes 2 by 2 and considerS₁ = {A =V | det(A) = A #0; a, b, c, d ER} & S₂ = A €V | A=Alla, b, c, d e Ris vector space include allS3 = {A EV | det(A) = A=0; a, b, c, d ER} & S4=Only S₂ and S4S₂ = {A€V\A=[a b]; a,b,cER}Which one of S₁, S2, S3, and S4 is a subspace of V.Only S₁ and S3Only S₂aS₁ = {A€VIA= [0₂0]; a€R}1

Answered: Image /qna-images/answer/0552bab7-fd50-4c5a-97e7-c9b96aaf0c07.jpg

Suppose V=- x = {^₁ A = [90] ₂,₂ = [a b]; C d matrixes 2 by 2 and consider S₁ = {A eV | det(A) = A #0; a, b, c, d ER} & S₂ = AEV | A= All S3 = {A EV | det(A) = A=0; a, b, c, d ER} & S4= , b, c, d e Ris vector space include all Which one of S₁, S2, S3, and S4 is a subspace of V. Only S₂ and S4 S₂ = {AEVIA=[a b]; a,b,ceR} 5₁ a [6 = {AEVIA= [0₂9]; a€R} 1 Only S₁ and S3 Only S₂

Suppose V=- x = {^₁ A = [90] ₂,₂ = [a b]; C d matrixes 2 by 2 and consider S₁ = {A eV | det(A) = A #0; a, b, c, d ER} & S₂ = AEV | A= All S3 = {A EV | det(A) = A=0; a, b, c, d ER} & S4= , b, c, d e Ris vector space include all Which one of S₁, S2, S3, and S4 is a subspace of V. Only S₂ and S4 S₂ = {AEVIA=[a b]; a,b,ceR} 5₁ a [6 = {AEVIA= [0₂9]; a€R} 1 Only S₁ and S3 Only S₂

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...

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