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Matrix : Convergence, Pseudoinverse and Single Value Decomposition

Only problems #3 &4-a,(without using any software).

3 .
Ax = b
we consider the iterative scheme
....
where the matrix Q is nonsingular.
(a) If ... for some subordinate matrix norm, show that the sequence produced by the above scheme converges to the solution of the system for any initial vector x(0).

4. Given singular matrix
....
(a) Find its singular-value decomposition.
(b) Find its pseudoinverse.

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Matrix problems involving Convergence, Pseudoinverse and Single Value Decomposition are solved. The solution is detailed and well presented.

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