# Eigenvalues

Not what you're looking for? Search our solutions OR ask your own Custom question.

For which value of k does the matrix

A = 1 k

4 8

have one real eigenvalue of multiplicity 2?

K=___?

Â© BrainMass Inc. brainmass.com November 30, 2021, 12:14 am ad1c9bdddfhttps://brainmass.com/math/linear-algebra/eigenvalues-matrix-functions-29942

#### Solution Preview

We can get the characteristic equation as follows.

...

#### Solution Summary

An eigenvalue of given multiplicity is found. The real eigenvalues of multiplicity is discussed.

$2.49