Degenerate eigenvalue

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created: 2022-01-06 02:41:27
modified: 2022-01-10 04:13:04

is a vector space over the field , is a linear map and is an eigenvalue of .

The eigenvalue is said to be degenerate if , where is the eigenspace of and denotes dimension.

In other words: if there are two or more linearly independent eigenvectors with the same eigenvalue, then that eigenvalue is said to be degenerate.