Find Eigenvalue and Eigenvector of 2 by 2 Matrix (Repeated Eigenvalues)

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Find the eigenvalues and eigenvectors of a 2 by 2 matrix that has repeated eigenvalues. We will need to find the eigenvector but also find the generalized eigenvector of the matrix.
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How do we know a matrix has repeated eigenvalues? What is the characteristic that determines this property?

ryanjacksonx
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thanks for you you're intelligent

hamzehabuabed
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can you solve 11
11 0
is a matrix find eigen vector

hamzehabuabed