Eigen value and eigen vector of a 2*2 block matrix

3 次查看（过去 30 天）

ASHA RANI 2021-5-19

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/833793-eigen-value-and-eigen-vector-of-a-2-2-block-matrix

评论： SALAH ALRABEEI 2021-6-11

syms a51 a53 a54 a56 a62 a65 a67 a68 a71 a73 a74 a76 a81 a83 a84 a86 
A= zeros(4);
B=eye(4);
C=[a51 0 a53 a54; 0 a62 0 0;a71 0 a73 a74;a81 0 a83 a84];
D=[ 0 a56 0 0;a65 0 a67 a68;0 a76 0 0;0 a86 0 0];
G=[A B;C D]

I want to find eigen value and eigen vector of Matrix G. I tried the code eig (G), but it not works.

For this matrix G, the characteristic polynomial can be reduced to a fourth order equation with the eigenvalues being the positive and negative square roots of the roots of that equation, But how this result help to find expresion for eigen value of G and also eigen vector (in terms of general eigen value e)?

2 个评论
显示无隐藏无

Steven Lord 2021-5-19

What does "it not works" mean?

Do you receive warning and/or error messages? If so the full and exact text of those messages (all the text displayed in orange and/or red in the Command Window) may be useful in determining what's going on and how to avoid the warning and/or error.
Does it do something different than what you expected? If so, what did it do and what did you expect it to do?
Did MATLAB crash? If so please send the crash log file (with a description of what you were running or doing in MATLAB when the crash occured) to Technical Support using the telephone icon in the upper-right corner of this page so we can investigate.