Use cramer's rule to solve the following system of equations.

5x + 3y = 7
4x + 5y = 3

a. x = 2, y = —1
b. x = 4, y = 1
c. x = --2, y = —1
d. x = 2, y = 5

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