Question Number 54963 by gunawan last updated on 15/Feb/19
![Let a number of real so matrices [(1,a,a),(a,1,a),(a,a,1) ]having three value characteristic real λ_1 ≥λ_2 ≥λ_3 >0 then a have to lies in interval...](https://www.tinkutara.com/question/Q54963.png)
$$\mathrm{Let}\:{a}\:\mathrm{number}\:\mathrm{of}\:\mathrm{real}\:\mathrm{so}\:\mathrm{matrices} \\ $$$$\begin{bmatrix}{\mathrm{1}}&{{a}}&{{a}}\\{{a}}&{\mathrm{1}}&{{a}}\\{{a}}&{{a}}&{\mathrm{1}}\end{bmatrix}\mathrm{having}\:\mathrm{three}\:\mathrm{value} \\ $$$$\mathrm{characteristic}\:\mathrm{real}\:\lambda_{\mathrm{1}} \geqslant\lambda_{\mathrm{2}} \geqslant\lambda_{\mathrm{3}} >\mathrm{0} \\ $$$$\mathrm{then}\:{a}\:\mathrm{have}\:\mathrm{to}\:\mathrm{lies}\:\mathrm{in}\:\mathrm{interval}… \\ $$