Scilab has an inbuilt function called spec(A) to calculate the Eigenvalues of a Matrix A.
If you type,
[c,d]=spec(A)
where d is a diagonal matrix which contains the eigen-values,
and c is a matrix that stores the eigen-vectors as it’s columns.
The following code illustrates the use of the function spec(A) to print the eigenvalues and eigenvectors of Matrices.
//Eigenvalues and Eigenfunctions clc; A=[2,1,1;1,3,2;3,1,4]; B=[1,-%i,3+4*%i;%i,2,4;3-4*%i,4,3]; C=[2,-%i,2*%i;%i,4,3;-2*%i,3,5]; [c,d]=spec(A); [e,f]=spec(B); [g,h]=spec(C); disp(spec(A),"The Eigen-values of matrix A are:"); disp(c,"The corresponding Eigen-vectors of matrix A is:"); disp(spec(B),"The Eigen-values of matrix B are:"); disp(e,"The corresponding Eigen-vectors of matrix B is:"); disp(spec(C),"The Eigen-values of matrix C are:"); disp(g,"The corresponding Eigen-vectors of matrix C is:");
Output:
Video:
Ph.D. researcher at Friedrich-Schiller University Jena, Germany. I’m a physicist specializing in computational material science. I write efficient codes for simulating light-matter interactions at atomic scales. I like to develop Physics, DFT, and Machine Learning related apps and software from time to time. Can code in most of the popular languages. I like to share my knowledge in Physics and applications using this Blog and a YouTube channel.
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