Matrix Addition

Denote the sum of two matrices A and B (of the same dimensions) by C=A+B. The sum is defined by adding entries with the same indices


over all i and j. For example,

 [a_(11) a_(12); a_(21) a_(22)]+[b_(11) b_(12); b_(21) b_(22)]=[a_(11)+b_(11) a_(12)+b_(12); a_(21)+b_(21) a_(22)+b_(22)].

Matrix addition is therefore both commutative and associative.

See also

Matrix, Matrix Multiplication

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Cite this as:

Weisstein, Eric W. "Matrix Addition." From MathWorld--A Wolfram Web Resource.

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