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...Eigenvalues eigenvectors and diagonal ization math diagonalization calculus iii summer session ii wednesday july agenda introduction next week we will apply linear algebra to solving dierential equations one that is particularly easy solve y ay it has the solution ceat where c any real or complex number viewed in terms of transformations vector equation t ck i are going study a more general context denition let be an n matrix value for which av v nontrivial solutions called corresponding nonzero vectors x eigenvector not figure geometrical description r...