Test the linear independence of a) v1=<1,3,5> v2=<2,1,6> v3=<3,4,11> b) u1=<2,1,6> u2=<3,1,7> u3=<5,2,3> Express v3/u3 as linear combination of v1,v2 / u1,u2 when they are linearly dependent otherwise express x=<1,1,1> as linear combination of the given vectors,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Test the linear independence of

a) v1=<1,3,5>
v2=<2,1,6>
v3=<3,4,11>

b) u1=<2,1,6>
u2=<3,1,7>
u3=<5,2,3>

Express v3/u3 as linear combination of v1,v2 / u1,u2 when they are linearly dependent
otherwise express x=<1,1,1> as linear combination of the given vectors,

 

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