Proof
Suppose that a matrix
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An Inverse of a Non-zero Matrix is Unique
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Eli
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If 
is a non-zero 
matrix and its inverse exists, then such inverse is unique.
Proof
Suppose that a matrix has two inverses 
and 
such that 
, then
, where
is the identity matrix
 = B(AC))
B = (BA)C)
, 
and hence matrix inverse is unique.
Proof
Suppose that a matrix
0
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