For any complex matrices A and W, m × n and n × m, respectively, it is proved that there exists a complex matrix X such that AXA = A, XAX = X, (AX)∗ = AX and XA(WA)k = (WA)k, where k is the index of ...
A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical Statistics
Some years ago the author defined a pseudo inverse of a singular matrix and used it in representing a solution of normal equations and for obtaining variances and covariances of estimates in the ...
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