a) Given matrices A, U, E and V, write a pseudocode to determine if UEV is the SVD of A. You may use the function [E, F] = eigs(X) to determine the eigenvectors E corresponding to the eigenvalues in the diagonal elements of F, for the square matrix X. Other functions that are needed are to be written. Ensure that everything including the size of the matrices are checked and appropriate error messages are printed. Allocate memory for the data types wherever necessary. Usage of direct multiplication to check if UZV is equal to A should not be done and would not be awarded any marks.