Exercises: Use Matrices to Represent Data

Work through each section in order. Show your work where indicated.

Grade 9·19 problems·~25 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-c-6

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Recall / Warm-Up

A matrix has 3 rows and 5 columns. What are its dimensions?

5 × 3

3 × 5

15 × 1

8 × 1

In the notation $a_{ij}$ , what does the subscript $i$ refer to?

The column number

The row number

The total number of entries

The value of the entry

A store tracks weekly sales of 4 products in 3 regions. Which matrix size best encodes this data with rows = products and columns = regions?

3 × 4

4 × 3

1 × 12

12 × 1

The matrix $A = \begin{bmatrix} 7 & 2 & 5 \\ 1 & 9 & 4 \end{bmatrix}$ — what are its dimensions?

3 × 2

2 × 3

6 × 1

3 × 6

A matrix $B$ is described as $4 \times 2$ . How many columns does it have?

Let $A = \begin{bmatrix} 3 & 7 & 1 \\ 2 & 0 & 5 \\ 8 & 4 & 6 \end{bmatrix}$ . What is $a_{23}$ ?

Let $A = \begin{bmatrix} 3 & 7 & 1 \\ 2 & 0 & 5 \\ 8 & 4 & 6 \end{bmatrix}$ . What is $a_{31}$ ?

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