Question

Linear Algebra
I need help with 2 of the 3 or with the 3):

LINEAR ALGEBRA Lineal Functions May 23, 2019 LLet θι, θ2, θ3 linear shapes in R2[x]defined as: Proof that {θι, θ2,0) is a base of R2[x]* and determines which is the dual base (pl,p2,p3 of R2[x that corresponds to him Attached Operators 2Proof that the application (-)": L(V,V)-+ L(V",V") given by ф is an isomorphism. 0' It 3·Let V {f : R → RIf it is differentiable) and W < V the subspace of all functions in V that are annulled simultaneously in 0 and in 1. Proof that the application D : W → V given by D(f) = f" It is self-attached with respect to the internal product: (f, g) = G f (x)g(x)dx .

Answer 1

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