# Minimax Principle - Intermediate Eigenvalue

Use the minimax principle to show that the intermediate eigenvalue {see attachment} is not positive.

*Please see attachment for eigenvalue and hint on how to complete the question.

Thanks for your help.

https://brainmass.com/math/linear-algebra/minimax-principle-intermediate-eigenvalue-25215

#### Solution Preview

Thanks for your hint. Hope it helps.

Use the minimax principle to show that the intermediate eigenvalue of

is not positive.

Hint: The matrix has a negative, a zero, and a positive eigenvalue. Use the fact that if the ...

#### Solution Summary

Use the minimax principle to show that the intermediate eigenvalue {see attachment} is not positive.

$2.19