Show P_{n}(F) is generated by {1,x,....,show pn(f) is generated by {1,x,...., xn}}Show transcribed image text Show Pn(F) is generated by {1,x,...., xn}

rocedwrp

rocedwrp

Answered question

2020-12-05

Show Pn(F) is generated by {1,x,....,show pn(f) is generated by 1,x,....,xn
Show transcribed image text Show Pn(F) is generated by 1,x,....,xn

Answer & Explanation

izboknil3

izboknil3

Skilled2020-12-06Added 99 answers

let S=1,x,x2,..................,xn
to show this we will have to show that every vector inPn
is a linear combination of a finite number ofelements of S.
let ? = a +a
1x+a2x2+..................+a
nxn where ai's are scalars.
then we have ? =

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