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

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ASHA RANI
ASHA RANI on 19 May 2021
Commented: SALAH ALRABEEI on 11 Jun 2021
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 Comments
SALAH ALRABEEI
SALAH ALRABEEI on 11 Jun 2021
I think eig command works only for values not symobls

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