Question

the table below shows business activity for one month in a home-improvement store. the table shows stock, sales, and deliveries. write a \\(3 \times 2\\) matrix using the given data.

\\(\

$$\begin{array}{|c|c|c|c|}\\hline & \\text{stock} & \\text{sales} & \\text{deliveries} \\\\ \\hline \\text{picnic table} & 15 & 12 & 18 \\\\ \\hline \\text{bq grillss} & 20 & 15 & 13 \\\\ \\hline \\end{array}$$

\\)

\\(\bigcirc a = \

$$\begin{bmatrix} 15 & 20 \\\\ 12 & 15 \\\\ 18 & 13 \\end{bmatrix}$$

\\)

\\(\bigcirc a = \

$$\begin{bmatrix} 15 & 20 \\\\ 12 & 15 \\\\ 13 & 18 \\end{bmatrix}$$

\\)

Explanation:

Identify the required matrix dimensions

Using the Matrix Dimensions knowledge point

$$ \text{Rows} = 3, \quad \text{Columns} = 2 $$

Map table data to the matrix structure

Using the Matrix Representation and Matrix Construction knowledge points

$$ A =
LATEXBLOCK0
$$

Substitute the numerical values

Using the Matrix Construction knowledge point

$$ A =
LATEXBLOCK1
$$

Answer:

• **A =

$$\begin{bmatrix} 15 & 20 \\ 12 & 15 \\ 18 & 13 \end{bmatrix}$$

(Correct answer)**

• A =

$$\begin{bmatrix} 15 & 20 \\ 12 & 15 \\ 13 & 18 \end{bmatrix}$$