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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

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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# .

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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 .

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