Hello, im starting to use the function 'eig' to calculate the eigenvalues and eigenvectors of a problem. In theory, to calculate them i always had the first coordinate of each eigenvector to be equal to 1, but i do not know how to set that condition in MATLAB. The system would be as follows, where i want to calculate the eigenvectors of the A matrix according to the conditions stated above.
M=[1 0 0 0 0 0 0 0 0 0; 0 1 0 0 0 0 0 0 0 0; 0 0 1 0 0 0 0 0 0 0; 0 0 0 1 0 0 0 0 0 0; 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 0 2 0 0 0 0; 0 0 0 0 0 0 3 0 0 0; 0 0 0 0 0 0 0 3 0 0; 0 0 0 0 0 0 0 0 4 0; 0 0 0 0 0 0 0 0 0 1];K=[1 -1 0 0 0 0 0 0 0 0; -1 3 0 0 0 0 -2 0 0 0; 0 0 3 -1 0 0 0 -2 0 0; 0 0 -1 1 0 0 0 0 0 0; 0 0 0 0 1 -1 0 0 0 0; 0 0 0 0 -1 3 -2 0 0 0; 0 -2 0 0 0 -2 8 -4 0 0; 0 0 -2 0 0 0 -4 11 -5 0; 0 0 0 0 0 0 0 -5 10 -5; 0 0 0 0 0 0 0 0 -5 5]; A=inv(M)*K;
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