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Find the SVD and the pseudoinverse V +U T of A = h 1 1 1 1i , B = " 0 1 0 1 0 0# , and C
Chapter 6, Problem 6.3.15(choose chapter or problem)
QUESTION:
Find the SVD and the pseudoinverse V +U T of A = h 1 1 1 1i , B = " 0 1 0 1 0 0# , and C = " 1 1 0 0# .
Questions & Answers
QUESTION:
Find the SVD and the pseudoinverse V +U T of A = h 1 1 1 1i , B = " 0 1 0 1 0 0# , and C = " 1 1 0 0# .
ANSWER:Step 1 of 7
i)
The SVD of matrix A is given by:
Where,
The column of U are eigenvectors of , the columns of V are eigenvectors of and the singular value on diagonal of are the square roots of the non zero eigen values of and .
Here,
Find the values of and and its eigenvalues and eigenvectors.
The eigen values of both and are 4,0,0,0. The only nonzero eigen value is 4. The eigen vectors of is 1 and the eigenvectors of are .