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The matrices show the enrollment of boys and girls on the basketball, lacrosse, and soccer teams in two towns.

If we let matrix A be the matrix for Town A, what is the element a31, and what does it represent?

If we let matrix B be the matrix for Town B, what is the address of the element that represents the number of girls enrolled in basketball in Town B?

What is the matrix that results when you subtract matrix A from matrix B?

Name the matrix you found in the last part, matrix C. What is element c22, and what information does it tell you about the number of girls enrolled in lacrosse in Town B compared with Town A?

What is the matrix that shows the enrollment in Town A after a 12.5% increase in enrollment in all sports and in both genders? (Hint: Find 1.125A.)

Dec 19, 2017
edited by Guest  Dec 19, 2017

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a31  =   104    ......represents  the number of boys in Town A  who play soccer

Girls  enrolled in basketball in Town B  =  b12  =  94

B   -   A    =

6       14

8       -7

6        2

c22  means that there are 7 fewer girls enrolled in lacrosse in Town B than in Town A

1.125 A  =

108        90

72         99

117       135

Dec 19, 2017