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To see this, let (lambda_{i}) be a specific eigenvalue.
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Let be an eigenvalue of.
Let be an eigenvalue of a matrix.
Let λ be an eigenvalue and e be the eigenvector.
Suppose such an eigenvalue is a repeated eigenvalue.
This is an eigenvalue equation with the eigenvalue 〈Q2(1)〉 = − 6.
The first is a domain-independent eigenvalue placement design problem that is tested for some sample target sets of eigenvalues.
Then, from Fact 3, 1 is an eigenvalue for the matrix A as well.
Then is an eigenvalue of.
Therefore is an eigenvalue of.
Hence, is an eigenvalue of.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com