Arguing geometrically, find all eigenvectors and eigen- values of the linear transformations in Exercises 15 hrough 22. In each case, find an eigenbasis if you can, and thus determine whether the given transformation is liagonalizable. 22. The linear transformation with T(@) = i and T(w): i+ü for the vectors i and i in R? sketched below

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Arguing geometrically, find all eigenvectors and eigen-
values of the linear transformations in Exercises 15
through 22. In each case, find an eigenbasis if you can,
and thus determine whether the given transformation is
diagonalizable.
22. The linear transformation with T(i) = i and T(u)
i+ü for the vectors i and w in R2 sketched below
Transcribed Image Text:Arguing geometrically, find all eigenvectors and eigen- values of the linear transformations in Exercises 15 through 22. In each case, find an eigenbasis if you can, and thus determine whether the given transformation is diagonalizable. 22. The linear transformation with T(i) = i and T(u) i+ü for the vectors i and w in R2 sketched below
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