How is simplifying similar to division?

Simplifying is similar to division because simplification use division in order to get smaller (or 'simpler') terms in a given fraction. To do that, numerator and denominator are divided by the greatest common factor. For example, 4/10 can be simplified to 2/5, dividing 4 and 10 by 2.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b