EigenvalueOf

Finds the eigenvalue of a given eigenvector.

Syntax

• EigenvalueOf(A, v)

  • A is a matrix

  • v is an eigenvector of A

Description

If v is an eigenvector of A, then EigenvalueOf(A, v) returns the eigenvalue of A corresponding to v.

Examples

A ≔ ❨❨1, −1, −1, 1❩, ❨−1, 0, 0, 1❩, ❨−1, 0, 2, 0❩, ❨1, 0, 0, 2❩❩

⎛ 1  −1  −1   1⎞
⎜−1   0   0   1⎟
⎜−1   0   2   0⎟
⎝ 1   0   0   2⎠

EigenvalueOf(A, ❨1, 0, −1, 1❩)

3

See also

• eigenvalues

• spectrum

• eigenvectors

• EigenvectorOf