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Q11.

Expert-verifiedFound in: Page 164

Book edition
Middle English Edition

Author(s)
Carter

Pages
804 pages

ISBN
9780079039903

**For Exercises 11-13, use the table below that shows high school participation in various sports.**

** **

**11. Write two matrices that represent these data for males and females.**

The matrix representing the data for males and females are:

$\begin{array}{l}\text{Males}\\ A=\left[\begin{array}{cc}16763& 549499\\ 14620& 477960\\ 14486& 455305\\ 9041& 321416\\ 5234& 83411\end{array}\right]\end{array}$**and $\begin{array}{l}\text{Females}\\ B=\left[\begin{array}{cc}16439& 456873\\ 14545& 405163\\ 12679& 340480\\ 7931& 257586\\ 5450& 133235\end{array}\right]\end{array}$**

A matrix is a rectangular array of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets. Data is organized in such a way that each position has a purpose. Each value of the matrix is called an element.

The data in the table can be organized in two matrices. Let the first matrix representing the data for males be *A*. Then,

$\begin{array}{l}\text{Males}\\ A=\left[\begin{array}{cc}16763& 549499\\ 14620& 477960\\ 14486& 455305\\ 9041& 321416\\ 5234& 83411\end{array}\right]\end{array}$

Let the matrix representing the data for females be *B*. Then,

$\begin{array}{l}\text{Females}\\ B=\left[\begin{array}{cc}16439& 456873\\ 14545& 405163\\ 12679& 340480\\ 7931& 257586\\ 5450& 133235\end{array}\right]\end{array}$

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