find a nonsingular matrix p such that p^{-1}ap is a diagonal matrix, use sym(a) to get elements of p. in matlab in matlab

main.m
% Given matrix A
A = [1, 2; 3, 4];

% Calculate the symmetric part of A
symA = 0.5*(A + A');

% Find the nonsingular matrix P using eigendecomposition
[V, D] = eig(symA);
P = V;

% Calculate P^-1
P_inv = inv(P);

% Calculate P^-1 * A * P
P_inv * A * P
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