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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Suppose V=
1 = {A₁A=[%]₂₂ = [a b];
C
d
matrixes 2 by 2 and consider
S₁ = {A =V | det(A) = A #0; a, b, c, d ER} & S₂ = A €V | A=
All
a, b, c, d e Ris vector space include all
S3 = {A EV | det(A) = A=0; a, b, c, d ER} & S4=
Only S₂ and S4
S₂ = {A€V\A=[a b]; a,b,cER}
Which one of S₁, S2, S3, and S4 is a subspace of V.
Only S₁ and S3
Only S₂
a
S₁ = {A€VIA= [0₂0]; a€R}
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F808315a4-4963-404b-ae23-5abc733caf71%2F0552bab7-fd50-4c5a-97e7-c9b96aaf0c07%2Ffyplxocf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose V=
1 = {A₁A=[%]₂₂ = [a b];
C
d
matrixes 2 by 2 and consider
S₁ = {A =V | det(A) = A #0; a, b, c, d ER} & S₂ = A €V | A=
All
a, b, c, d e Ris vector space include all
S3 = {A EV | det(A) = A=0; a, b, c, d ER} & S4=
Only S₂ and S4
S₂ = {A€V\A=[a b]; a,b,cER}
Which one of S₁, S2, S3, and S4 is a subspace of V.
Only S₁ and S3
Only S₂
a
S₁ = {A€VIA= [0₂0]; a€R}
1
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