Matrix multiplication, also known as matrix product and the multiplication of two matrices, produces a single matrix.
If A is an m × n matrix and B is an n × p matrix,
the matrix product C = AB (denoted without multiplication signs or dots) is defined to be the m × p matrix.
For i = 1, ..., m and j = 1, ..., p. That is, the entry Cij of the product is obtained by multiplying term-by-term the entries of the ith row of A and the jth column of B, and summing these n products. In other words,Cij is the dot product of the ith row of A and the jth column of B. Therefore, AB can also be written as
Now, Let's jump in to have fun, Practically trying them...