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Let V be a vector space containing polynomials in the form f(x)=ao+a1x+a2x^2
Let W be the set of elements for all possible values satisfying the form 2f(0)+3f(1)=0
show that W is a subspace of V
Solution
2a0+3a0+a1+a2=0 5a0+a1+a2=0

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Let V be a vector space containing polynomials in the form f(x)=ao+a.pdf

  • 1. Let V be a vector space containing polynomials in the form f(x)=ao+a1x+a2x^2 Let W be the set of elements for all possible values satisfying the form 2f(0)+3f(1)=0 show that W is a subspace of V Solution 2a0+3a0+a1+a2=0 5a0+a1+a2=0