Let, p1=-1+x-2x^2,p2=4+4x+8x^2,p3=5

Find a basis for the subspace of P2 spanned by the given vectors that fits with the definition below.
If less than 3 vectors are required one or more of the vectors below can be set to zero.
Use the above vectors if possible. i.e. use v3 equals 5 instead of v3 equals 1.

Question

Let, p1=-1+x-2x^2,p2=4+4x+8x^2,p3=5


Find a basis for the subspace of P2 spanned by the given vectors that fits with the definition below.
If less than 3 vectors are required one or more of the vectors below can be set to zero.
Use the above vectors if possible. i.e. use v3 equals 5 instead of v3 equals 1.

amistre64 · Answer

i recall staking them might reveal the vectors

amistre64 · Answer

Ax = p

assuming x = x^2, x^1, x^0,  what does A have to be?