Question

"An elf counted 12 small holiday sweaters, 34 medium holiday sweaters, and 27 large holiday sweaters on the store shelves. She also counted 7 small holiday sweaters and 17 medium holiday sweaters, and 2 large holiday sweaters in the workshop. (Please label your matrices)

1. Organize the data in a matrix. Name the matrix H. Label the rows and columns.
2. Each holiday sweater sells for $16. Create the matrix that shows the total value of each sweater in each location."

Answer 1

To organize the sweater data, a matrix named H is created with rows for Store Shelves and Workshop and columns for each sweater size. Each element in H is multiplied by $16 to create a matrix representing the total value of the sweaters in each location.

Step-by-step explanation:

To answer the question regarding the organization of sweater data in a matrix and the calculation of the total value of sweaters in each location:

Step 1: Organize the data in a matrix (Matrix H)

Let's label the columns of the matrix as Small, Medium, and Large to represent the sizes of the sweaters, and the rows as Store Shelves and Workshop to represent the locations where the sweaters were counted.

We'll arrange the counts of sweaters in the corresponding cells:

Matrix H = [Store Shelves]|[Small, Medium, Large]

[Workshop] |

[[12, 34, 27],

[ 7, 17, 2]]

Step 2: Calculate the total value of the sweaters (Value matrix)

Since each holiday sweater sells for $16, we create another matrix by multiplying each element of matrix H by 16:

Total Value = 16 × Matrix H

Total Value matrix = [Store Shelves]|[Small, Medium, Large]

[Workshop] |

[[192, 544, 432],

[112, 272, 32]]

Note: Each element within the Total Value matrix represents the total value of the sweaters for each size and location.