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Find eigenvalues and associated eigenvector of give matrix a

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Assignment

1. Find the eigenvalues and associated eigenvectors of the given matrix A.

2395_matrix A.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

Reference no: EM131512552

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