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. |