Answer to Question #82560 in Linear Algebra for Abi

Question #82560

P(e)(x) = {p(x) ∈ R[x]|p(x) = p(−x)}
Find W = P(e) ∩P3. Find a basis for W and find the dimension of W

Expert's answer

Download Answer

Learn more about our help with Assignments: Linear Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Show the cartesian product of R^n and R^m, is isomorphic to R^(n+m)
2. Let V = R3 , A = {(x, y,z)|y = 0} and B = {(x, y,z)|x = y = z}. Check whether R3 = A⊕B
3. a.find a basis for the span of the following set of vectors |1 | |-4 | |1 | |5| |2| | -1| |1
4. Solve the following 0.6x + 0.8y + 0.1z = 1 1.1 x + 0.4y + 0.3z= 0.2 x + y + 2z =0.5 by LU decomp
5. Find the orthogonal canonical reduction of the quadratic form x 2 +y 2 +z 2 −2xy−2xz−2yz.
6. Check whether the matrices A and B are diagonalisable. Diagonalise those matrices which are diagona
7.  ii) B =   −1 −3 0 2 4 0 −1 −1 2  . b) Find inverse of the matrix B i