An art teacher has 9 students in a pottery class. he has 21.06 pounds of clay he divides evenly among all the students. each student will divide his or her clay into 3 equals amounts to make 3 different sculptures. how much clay will be used for each sculptures

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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