Matrices: An introduction to matrix algebra
B.1 Multiplication by a constant
Let us define matrices X and Y with i rows and j columns (i × j):
When multiplying a matrix by a constant each matrix element has to be multiplied:
B.2 Adding matrices
Adding (or subtracting) matrices can be done only for matrices of the same order. When X and Y are i × j matrices, the corresponding xij and yij elements are summed (or subtracted) to give a resulting matrix Z of the same size i × j:
The properties of ...