Elementary Operations and Properties of Matrices

The simplest relationship between two matrices is equality. Intuitively, one feels that two 

Two matrices [y4] and [B] can be added together only if they are of the same order, and then the elements in the corresponding positions are added, that is, if [A] + [B] = [C], then 

It is not difficult to show that the addition of matrices is both commutative and associative. 

If we define a null matrix [0] to be a matrix consisting of only zero elements, then 

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