Reference no: EM131512552
Assignment
1. Find the eigenvalues and associated eigenvectors of the given matrix A.
![2395_matrix A.jpg](https://secure.expertsmind.com/CMSImages/2395_matrix%20A.jpg)
2. The given vectors span a subspace V of the indicated Euclidean space. Find a basis for the orthogonal complement V⊥ of V .
v1 = (1,1,1,1,3), v2 = (2,3,1,4,7), v3 = (5,3,7,1,5)
3. Solve the initial value problem.
y(3) - 2y'' + y' = 1 + xex; y(0) = y'(0) = 0, y''(0) = 1
4. Apply the eigenvalue method to find a general solution of the given system.
x1' = -3x1 + 4x2, x2' = 6x1 - 5x2