Multiple of eigenvector is also an eigenvector ↩

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created: 2021-12-10 20:49:14
modified: 2022-01-10 04:13:03

is an eigenvector for

and

is any nonzero element of

.
Statement:

is also an eigenvector for

with the same eigenvalue as

Proof

Let be the eigenvalue of . Then

QED