27. If A is an matrix, B is an matrix and AB' = 0, and B'A =...

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27. If A is an matrix, B is an matrix and AB' = 0, and B'A = 0, show that

(1) AB' = 0,

(2) B'A = 0,

(3) AB = 0.

(4) BA' = 0,

(5) B'A' = 0.

(6) A'B = 0.

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