The matrix -3 3 A = 5 5 has a singular value decomposition A = UΣVᵗ where U=0

Question

The matrix         -3 3
                     A = 5  5
has a singular value decomposition A = UΣVᵗ  where
                   U=0  -1
                       -1  0
and            Σ= 5√2    0
                        0     5√2
and            V=-1/√2  1/√2
                       -1/√2 -1/√2
The 2,2 entry of the pseudoinverse A+ is(A+)₂₂=1/z
What is z?

Kunduz · Accepted Answer

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