Question: 43. If A is defined by $$A = begin{bmatrix} B & 0 0 & C end{bmatrix}$$, show that A' is a c-inverse of A

43. If A is defined by

$$A = \begin{bmatrix} B & 0 \\\ 0 & C \end{bmatrix}$$, show that A' is a c-inverse of A where

$$A' = \begin{bmatrix} B' & 0 \\\ 0 & C' \end{bmatrix}$$, where B' and C' are any c-inverses of B and C, respectively.

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