Question

Write and label a matrix to organize the information. Team Uniform Order: Shirts: 3 small, 7 medium, 10 large, 5 extra large Shorts: 7 small, 4 medium, 2 large, 2 extra large

Short answer

The matrix that organizes the given information is:\[\begin{array}{l|c|c|c|c} & S & M & L & XL \\hlineShirts & 3 & 7 & 10 & 5 \Shorts & 7 & 4 & 2 & 2\end{array}\]

Step-by-step solution

Identify the Elements

The first step is to identify the elements required for labeling and assigning our matrix. We have two types of clothing: Shirts and Shorts, and four sizes: Small, Medium, Large, and Extra Large.

Draw and Label the Matrix

Once we've identified our categories and types, we should draw out and label our matrix. Clothing types will be the row labels and Sizes will be column labels. So our matrix would look like this:\[\begin{array}{l|c|c|c|c} & S & M & L & XL \\hlineShirts & & & & \Shorts & & & & \end{array}\]where S - small, M - medium, L - large, and XL - Extra Large are clothing sizes.

Fill the Matrix

The final step is to fill the matrix with the values provided in the task. These values correspond to the quantity of each type and size of clothing. Filling those in, our matrix should now look like this:\[\begin{array}{l|c|c|c|c} & S & M & L & XL \\hlineShirts & 3 & 7 & 10 & 5 \Shorts & 7 & 4 & 2 & 2\end{array}\] This has successfully created a matrix to organize the supplied information.