# Matrix operations

SCALAR MULTIPLE: Given any matrix , we can define the scalar multiple  with scalar . For example,

SUM: Given two matrices  and , we can define the sum  of matrix. For example,

MATRIX MULTIPLICATION: Given matrix  and matrix , we can define the multiplication  of matrix. Suppose, for example, that we have a matrix  and a matrix . Then we can compute the multiplication  of matrix by

The matrix multiplication is not commutative. That is, in general.

Subsections

Department of Mathematics