Question

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- As an alternative ; we can form additional...

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5

a- As an alternative ; we can form additional equation involving a1,a2,a3,and a4 using differntiation.explain how how to produce a system of equation with unknown constant a1,a2,a3,a4. Since there are 4 unknown ,you will need 4 equattion find them

b- Find Basis for the vector space spanned by p1(X),p2(x),p3(x),p4(x). express any reductant vector in terms of linear combination of the others .Note you might want to use row in the changes?

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