Let W be the set of all vectors of the form shown, where a, b, and c r

signokodo7h 2021-12-03 Answered
Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers. In each case, either find a set S of vectors that spans W or give an example to show that W is not a vector space.
[4a+3b0a+b+cc2a]
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Expert Answer

Dona Hall
Answered 2021-12-04 Author has 15 answers

Since any vector w in W may be written as 
w=a[4012]+b[3010]+c[0011] 
We see that 
S={[4012],[3010],[0011]} 
is a set that spans W. 
S={[4012],[3010],[0011]}

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