Tema 5

Sean B_1=\{ p(x),q(x),r(x) \} y B_2=\{s(x),t(x),u(x)\} dos bases ordenadas de \mathbb{P}_2. Si se conoce que:\begin{aligned}[x^2-x]_{B_1} &= (1,1,0)\\ {[x+1]_{B_1}}&=(0,1,0) \\ {[2x^2+1]_{B_1}}&=(1,-1,1) \\ {[s(x)+t(x)]_{B_1}}&=(1,1,0) \\{[t(x)+u(x)]_{B_1}}&=(5,2,0) \\{[u(x)]_{B_1}}&=(3,0,0) \end{aligned}Determine los vectores de cada base.