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Determine which of the following sets of vectors are linearly independent, which span the space R3 and which are bases of R3. Try to perform as few computations as possible. S₁₁ = S4= 123 S5 = -68 S₂ = -8888 S6 = - CBB -6-6-8-4 S₁ = Sg= {A-A-A S9 Select all sets which are linearly independent: Select all sets which span R³: Select all sets which are bases of R³: S₁ S₁ = -888 Sg= S9 = Select all sets which are linearly independent: Select all sets which span R3:1 Select all sets which are bases of R³: S S₁ S₁ S₂ S S2 S3 S₂ S3 S4 S4 S4 S5 S5 Ss S6 S6 $6 S₁ ST ST Sg S8 S8 S9 So S9

Determine which of the following sets of vectors are linearly independent, which span the space R3 and which are bases of R3. Try to perform as few computations as possible. S₁₁ = S4= 123 S5 = -68 S₂ = -8888 S6 = - CBB -6-6-8-4 S₁ = Sg= {A-A-A S9 Select all sets which are linearly independent: Select all sets which span R³: Select all sets which are bases of R³: S₁ S₁ = -888 Sg= S9 = Select all sets which are linearly independent: Select all sets which span R3:1 Select all sets which are bases of R³: S S₁ S₁ S₂ S S2 S3 S₂ S3 S4 S4 S4 S5 S5 Ss S6 S6 $6 S₁ ST ST Sg S8 S8 S9 So S9

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine which of the following sets of vectors are linearly independent, which span the space R3 and which are bases of R3. Try to perform as few computations as possible. S₁₁ = S4= 123 S5 = -68 S₂ = -8888 S6 = - CBB -6-6-8-4 S₁ = Sg= {A-A-A S9 Select all sets which are linearly independent: Select all sets which span R³: Select all sets which are bases of R³: S₁ S₁
Transcribed Image Text:Determine which of the following sets of vectors are linearly independent, which span the space R3 and which are bases of R3. Try to perform as few computations as possible. S₁₁ = S4= 123 S5 = -68 S₂ = -8888 S6 = - CBB -6-6-8-4 S₁ = Sg= {A-A-A S9 Select all sets which are linearly independent: Select all sets which span R³: Select all sets which are bases of R³: S₁ S₁
= -888 Sg= S9 = Select all sets which are linearly independent: Select all sets which span R3:1 Select all sets which are bases of R³: S S₁ S₁ S₂ S S2 S3 S₂ S3 S4 S4 S4 S5 S5 Ss S6 S6 $6 S₁ ST ST Sg S8 S8 S9 So S9
Transcribed Image Text:= -888 Sg= S9 = Select all sets which are linearly independent: Select all sets which span R3:1 Select all sets which are bases of R³: S S₁ S₁ S₂ S S2 S3 S₂ S3 S4 S4 S4 S5 S5 Ss S6 S6 $6 S₁ ST ST Sg S8 S8 S9 So S9
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