1.3.6: Additive inverse of a matrix

 

Let matrix A and matrix B be two matrices of the same order. If matrix A and matrix B are so related together that A+B=O=B+A where O is the identity matrix of the same order as that of order of A or B, then B is called the additive inverse of A and likewise A is called the additive inverse of B. In other words B= - A which implies that A= - B i.e A & B are additive inverses of each other.


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