判断矩阵

特征向量解

最大特征值

$A$

$W=\left[\begin{array}{cccc}1.5000& 3.0000& 2.7500& 0.3795\end{array}\right]$ Math_38#

${\lambda }_{max}=4.0042$

$A_1$

$W_1=\left[\begin{array}{cccccc}4.0000& 2.5833& 1.8056& 0.8389& 0.8333& 0.4266\end{array}\right]$

${\tilde{W}}_1=\left[\begin{array}{cccccc}0.3814& 0.2643& 0.1722& 0.0800& 0.0795& 0.0407\end{array}\right]$

${\lambda }_{max}=6.1741$

$A_2$

$W_2=\left[\begin{array}{ccccc}2.8000& 0.5800& 1.2677& 1.8000& 0.7667\end{array}\right]$

${\tilde{W}}_2=\left[\begin{array}{ccccc}0.3882& 0.1756& 0.0804& 0.2495& 0.1063\end{array}\right]$

${\lambda }_{max}=5.3985$

$A_3$

$W_3=\left[\begin{array}{ccccc}4.0000& 2.1000& 1.1500& 0.6000& 0.5786\end{array}\right]$

${\tilde{W}}_3=\left[\begin{array}{ccccc}0.4746& 0.2492& 0.1364& 0.0712& 0.0686\end{array}\right]$

${\lambda }_{max}=5.0156$

$A_4$

$W_4=\left[\begin{array}{ccccc}3.6000& 0.9500& 0.7067& 0.6000& 1.9000\end{array}\right]$

${\tilde{W}}_4=\left[\begin{array}{ccccc}0.4641& 0.1225& 0.0911& 0.0774& 0.2450\end{array}\right]$

${\lambda }_{max}=5.0382$