Product of pseudo-inverses Suppose A and D are right-invertible matrices and the prod- uct AD exists. We have seen that if B is a right inverse of A and E is a right inverse of D, then EB is a right i...

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Product of pseudo-inverses Suppose A and D are right-invertible matrices and the prod-

uct AD exists. We have seen that if B is a right inverse of A and E is a right inverse of D, then EB

is a right inverse of AD. Now suppose B is the pseudo-inverse of A and E is the pseudo-inverse of

D. Is EB the pseudo-inverse of AD? Prove that this is always true or give an example for which it

is false.

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(10 points) Product of pseudo-inverses Suppose A and D are right-invertible matrices and the prod- uct AD exists. We have see

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11.23 Product of pseudo-inverses. Suppose A and D are right-invertible matrices and the prod- uct AD...