Properties of Matrix Addition
Matrix addition has several important properties, similar to regular number addition:
1. Commutative Property: A+B=B+A, if A and B are of the same order.
2. Associative Property: (A+B)+C=A+(B+C), for matrices of the same order.
3. Additive Identity: There exists a zero matrix O such that A+O=A.
4. Additive Inverse: For every matrix A, there exists a matrix -A such that A+(-A)=O.
5. Closure Property: The sum of two matrices of the same order is also a matrix of the same order.