CHAPTER 03.07: BINARY OPERATIONS: Product of a scalar and a matrix Theory

In this segment we’ll talk about how we define a product of a scalar and a matrix. So if A is a m by m matrix - so if it’s a kind of a matrix that doesn’t have to be squared, and k is a real number then the product of k and A is another m by n matrix. Another M by n matrix B which is defined as B is equal to k times a, which basically means that if I want to find the IJth element of B that’ll be nothing by K times the IJth element of A matrix. So for all I and J - so for all I and J which are possible, all I have to do is to multiply each element of A by k in order to be able to find out what the resulting product will be. And that’s the end of this segment.