Question: a) Given matrices A, U, and V, write a pseudocode to determine if USV? is the SVD of A. You may use the function [E,

a) Given matrices A, U, and V, write a pseudocode to determine if USV? 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 UNV? is equal to A should not be done and would not be awarded any

marks.

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