I dont know how to start this question about crreating a matrix according to an equation

Answer 1

[Kritika Singh]

You can use the eig function to calculate the eigen value and corresponding eigen vector of a matrix

A = [1 2 0; 2 5 -1; 4 10 -1]

[V,D] = eig(A)

returns diagonal matrix D of eigenvalues and matrix V whose columns are the corresponding right eigenvectors, so that A*V = V*D.

You can refer to following documentation to know more about the implementation of eig() function

https://in.mathworks.com/help/matlab/ref/eig.html?searchHighlight=eig&s_tid=srchtitle

To know more about Hamiltonian matrix and its matrix method calculation you can refer to the following link.

https://d-arora.github.io/Doing-Physics-With-Matlab/mpDocs/qp_se_matrix.pdf

Please note,since this is an external link MathWorks is not responsible for the correctness of the content