Matrix is a common tool in higher algebra, and also in applied mathematics such as statistical analysis. In physics, matrix is applied in circuit science, mechanics, optics and quantum physics; in computer science, matrix is also used in 3D animation. Matrix operation is an important problem in the field of numerical analysis, the matrix is decomposed into the combination of simple matrix, which can simplify the operation of matrix in theory and practical application. For some widely used and special forms of matrix, such as sparse matrix and quasi diagonal matrix, there are specific fast algorithm.
Addition
The addition of matrices satisfies the following operation laws (a, B, C are all homotype matrices):
A+B=B+A
(A+B)+C=A+(B+C)
It should be noted that only the same type matrix can be added.
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