Singular Value Decomposition
(i) initialize a 2x2 matrix
m=[4 0.5;0.5 7]
Factorize the matrix with SVD
[u d v]=svd(m)
How the matrix u and v differ? Why is that?
u*d*v
What are the properties of matrices u,d and v?
v*v'
What is the determinant of matrix v, u , d and m?
det(m)
(ii) repeat the experiment for matrix
m=[4 0.5;1.5 7] and compare with the previous results