IB MAI HL Statistics & Probability Topic 4.3 Probability (id: 60a8b7752)

本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.3 Probability，类别为 IB数学

[填空题]
A discrete dynamical ss)pho (d rz06zy re0,uky+w1qystem is described by tha ms iw s.g-+;tlx.fy -q7wru,e following transition matrix, $\boldsymbol{T}$ ,

$\boldsymbol{T}=\left[\begin{array}{ll}
0.3 & 0.8 \\
0.7 & 0.2
\end{array}\right]$


The state of the system is defined by the proportions of population with a particular characteristic.
1. Use the characteristic polynomial of $\boldsymbol{T}$ to find its eigenvalues.$\lambda_{1}=$    , $\lambda_{2}$=   
2. Find the corresponding eigenvectors of $\boldsymbol{T}$ .$x_1$ = $\left[\begin{array}{l}
a \\
b
\end{array}\right] $ a =    b =    $x_2$ = $\left[\begin{array}{l}
a \\
b
\end{array}\right] $ a =    b =   
3. Hence find the steady state matrix s of the system. s = $\left[\begin{array}{l}
a \\
b
\end{array}\right] $ a =    b =   

参考答案:
空格1: -0.5  空格2: 1  空格3: -1  空格4: 1  空格5: 8  空格6: 7  空格7: 0/533  空格8: 0.467 


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