Achild may select a small, medium, or large hamburger and then select one of lettuce, tomato, or mayonnaise for a topping. use a tree diagram to determine the number of ways these selections may be made. a. 9 ways b. 12 ways c. 6 ways d. 16 ways e. 18 ways

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

about 0.75 hours

step-by-step explanation: