Question

3.The matrices show the enrollment of boys and girls on the basketball, lacrosse, and soccer teams in two towns. (a)If we let matrix A be the matrix for Town A, what is the element a21 , and what does it represent?(b)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 soccer in Town B?(c)What is the matrix that results when you subtract matrix A from matrix B?(d)Name the matrix you found in Part (c) matrix C. What is element , and what information does it tell you about the number of girls enrolled in basketball in Town B compared with Town A?(e)What is the matrix that shows the enrollment in Town A after a 25% increase in enrollment in all sports and in both genders? (Hint: Find 1.25A.)

Answer 1

From the given matrix of Town A and Town B, let's solve for the following:

• (a). If we let matrix A be the matrix for Town A, what is the element a21 , and what does it represent?

The a₂₁ element is 72.

It represents the number of boy enrolled in Lacrose.

• (b). 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 soccer in Town B?

To find the number of girls enrolled in Town B, the element is