Previous in Matrices and Determinants Next in Matrices and Determinants | ||
Question Number 54963 by gunawan last updated on 15/Feb/19 | ||
$$\mathrm{Let}\:{a}\:\mathrm{number}\:\mathrm{of}\:\mathrm{real}\:\mathrm{so}\:\mathrm{matrices} \\ $$ $$\begin{bmatrix}{\mathrm{1}}&{{a}}&{{a}}\\{{a}}&{\mathrm{1}}&{{a}}\\{{a}}&{{a}}&{\mathrm{1}}\end{bmatrix}\mathrm{having}\:\mathrm{three}\:\mathrm{value} \\ $$ $$\mathrm{characteristic}\:\mathrm{real}\:\lambda_{\mathrm{1}} \geqslant\lambda_{\mathrm{2}} \geqslant\lambda_{\mathrm{3}} >\mathrm{0} \\ $$ $$\mathrm{then}\:{a}\:\mathrm{have}\:\mathrm{to}\:\mathrm{lies}\:\mathrm{in}\:\mathrm{interval}... \\ $$ | ||