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IB MAI HL Number and Algebra Topic 1.5 Matrices (id: 6ec4fc481)

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admin 发表于 2024-2-6 05:06:48 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.5 Matrices,类别为 IB数学

[填空题]
A discrete dynamical system is vq8 l; jeqtp-u;n7co *described by the following transition m6(9gzyme 3a oh2auv5qpo h5o.atrix, T, qo h2 .h5ma5(9ov63ypez ou ag
$ T = \begin{vmatrix} 0.3 & 0.8 \\ 0.7 & 0.2 \end{vmatrix} $

The state of the system is defined by the proportions of population with a particular characteristic.

1.Use the characteristic polynomial of T to find its eigenvalues.

2.Find the corresponding eigenvectors of T.
Hence we get $ X_1 = \begin{vmatrix} -x \\ y \end{vmatrix} $
Hence we get $ X_2 = \begin{vmatrix} a \\ b \end{vmatrix} $
x=  ,y=  ; a=  ,b=  .
3.Hence find the steady state matrix s of the system.
$ S = \begin{vmatrix} x \\ y \end{vmatrix} $
x=  ,y=  .




参考答案:
空格1: 1空格2: 1空格3: 8空格4: 7空格5: 0.533空格6: 0.467


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