# State the Properties of matrix addition.

State the Properties of matrix addition.
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Step 1
Two matrices may be added only if they have the same dimension. That is, they must have the same number of rows and columns. Addition of two matrixes is accomplished by adding the corresponding entry of each matrix together.
$\left[\begin{array}{cc}a& c\\ b& d\end{array}\right]+\left[\begin{array}{cc}x& z\\ y& w\end{array}\right]=\left[\begin{array}{cc}a+x& c+z\\ b+y& d+w\end{array}\right]$
Step 2
Let A,B and C be $m×n$ matrices
1. Commutative Law A+B=B+A
2. Associative Law A+(B+C)=(A+B)+C
3. Additive identity A+O=A Where O is the zero matrix
4. Additive inverse A+B=O where B=-A
Jeffrey Jordon