Bob can buy individual songs for $1.00 to download. Also, an entire album costs $10.00 to download. He can spend no more than a total of $60. He wants to buy at least three albums, and no more than 35 individual songs. The following system of inequalities represents this situation, where x is the number of individual songs and y is the number of albums. x plus 10 y less or equal than 60 x less or equal than 35 y greater or equal than 3

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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