decompose 3d matrix in linear components in matlab

main.m
% Assuming A is a 3D matrix in Matlab
% Reshape A into a 2D matrix
[M, N, P] = size(A);
A_reshaped = reshape(A, M * N, P);

% Perform Singular Value Decomposition (SVD) on the reshaped matrix
[U, S, V] = svd(A_reshaped);

% U, S, and V represent linear components of the decomposition
% U and V are orthogonal matrices, S is a diagonal matrix of singular values

% To reconstruct the original matrix A, you can perform the following
reconstructed_A = U * S * V';
reconstructed_A = reshape(reconstructed_A, M, N, P);
516 chars
15 lines