Consider the equation:
Now, when a matrix is multiplied by a scalar quantity, then all elements of matrix is multiplied by that scalar quantity.
Using this principle, rewrite equation (1) as:
Addition of matrices can be done by adding same position of elements together, thus creating a new single matrix.
Equating rows from both sides of matrices:
From (4) and (5):
Since L.H.S. of both equations are same but R.H.S. are not same,
It is impossible to find the scalar quantity .