2.9.) Which of the following sets are subspace of IR³? a.) A = {(λ₁ λ + H²³, 1 - μ³²) | 1₁ μL E IR } . 1 b.) B = {(1 ²₁ -1²,0) | \ EIR}. C.) Let y be in IR. C= { ( § ₁, § ₂, § 3) € 10³² ) 5₁ - 2 d.J D= {(₁, ₂, 3₂) IR³ | {₂€ Z } 21

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
2.9.) Which of the following
sets
are
aj A = {(λ₁ λ + H²³, X - 4³²) | 1,₁μ EIR}.
1
subspace of IR ³?
b.) B = {(1² - 1²,0) | \ EIR}.
Let yle in R. C= {( 5₁, 5₂, 5₂) €²³5₁ - 25₂ +353-Y}
d.J D= {(₁, ³₂, 5₂) € IR³ | {/₂ € 2}
21
Transcribed Image Text:2.9.) Which of the following sets are aj A = {(λ₁ λ + H²³, X - 4³²) | 1,₁μ EIR}. 1 subspace of IR ³? b.) B = {(1² - 1²,0) | \ EIR}. Let yle in R. C= {( 5₁, 5₂, 5₂) €²³5₁ - 25₂ +353-Y} d.J D= {(₁, ³₂, 5₂) € IR³ | {/₂ € 2} 21
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