If B is invertible and same size as A, must A be zero?

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Show that if A and B are square matrices of the same size such that B is an
invertible matrix, then A must be a zero matrix.
 
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blueman11 said:
Show that if A and B are square matrices of the same size such that B is an
invertible matrix, then A must be a zero matrix.
We need information about how A and B are related. ie. AB = 0 or something.

-Dan