Day04HWsoln - Exercise Set 3 Solutions In this homework...

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Exercise Set 3 SolutionsIn this homework set, we will practice finding eigenvalues and eigenvectorswhen the eigenvalues are either complex or the matrix is defective.1. Given a 2×2 defective matrixAwith double eigenvalueλ, eigenvectorvand generalized eigenvectorw, show that the function:eλt(tv+w)solves the differential equationx0=Ax.
2. Exercises 1, 3, pg. 409 (Section 7.6, solve with complex evals/evecs)Solutions in the text.3. Exercises 1, 3, 7, pg. 429 (Section 7.8, solve with degenerate matrix)Solutions in the text.

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Term
Fall
Professor
Staff
Tags
Linear Algebra, Eigenvectors, Vectors, Cos, Eigenvalue eigenvector and eigenspace, Det

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