To multiply any scalar with a matrix, we simply multiply every element present in the matrix with that scalar. For example, if we are given with any matrix A and we want to calculate 2A then we simply multiply each element of matrix with 2 to get the resultant matrix. Lets take an example of matrix A =
Suppose, we want to calculate 2A. Just Multiply each element of A with 2 to get 2A.
2A =
Similarly, we can calculate kA by multiplying each element of matrix A with k.
The order of matrix kA is same as that of A.
There are some useful properties regarding multiplication of scalars with matrices:
provided that A and B have same order.
{Click on property to see its proof}
{Click on property to see its proof}