Prove Theorem
Let A, B, and C be m × n matrices.
For each m × n matrix A, there is a unique m × n matrix D such that
A + D = O.
We shall write D as −A, so A + D = O can be written as
A + (−A) = O.
The matrix −A is called the negative of A. We also note that −A is (−1)A.
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