29. luke has nine digit cards. he uses five of them to make the largest number he can. he makes
smallest number he can with the the remaining four cards.
find the difference between the two numbers that luke makes.

Assuming cards are numbered 1 2 3 4 5 6 7 8 9.

largest number: 98,765

smallest number: 1,234

Difference: 98,765 - 1,234 = 97,531

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