Rules for Combining Matrices

In this section we explore the matrix analogues of addition, subtraction and multiplication of numbers. The analogue for division (the inverse operation of multiplication) has no direct counterpart for matrices. 

The multiplication of a matrix, A, by a constant c (a real, imaginary or complex number) is achieved by simply multiplying each element by the constant, resulting in the elements changing from ,y to ca,y, for all ij. 

If two matrices have the same order, then addition and subtraction are defined as  

Neither addition nor subtraction is defined for combining matrices of different orders. 

Q Given the following matrices (notice that A has real, complex and imaginary elements)  

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