[a] Determine which of the following sets of vectors is linearly dependent and which is linearly independent. 2 •{()-(.*)-( (i) (ii) { 3 3 3 (1)-(-;-)} 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
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[a] Determine which of the following sets of vectors is linearly dependent and which is
linearly independent.
2
-{0-(1)-())
(ii)
3
-2
3
{(•)·0)·()}
2
2
[b] Given a set of vectors
3
1
{ )·(++) · () }
3
2
the set of vectors is linearly dependent in R³.
[c] Find a basis for the solution space for AX = 0 where A =
is the dimension for this solution space?
Find all values of a for which
2 2 4 6
3 3 77
1
1 3 1
. And what
Transcribed Image Text:[a] Determine which of the following sets of vectors is linearly dependent and which is linearly independent. 2 -{0-(1)-()) (ii) 3 -2 3 {(•)·0)·()} 2 2 [b] Given a set of vectors 3 1 { )·(++) · () } 3 2 the set of vectors is linearly dependent in R³. [c] Find a basis for the solution space for AX = 0 where A = is the dimension for this solution space? Find all values of a for which 2 2 4 6 3 3 77 1 1 3 1 . And what
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