Question

a class of students has different eye colors as shown below. represent the given data in 3 \times 2 matrix form.

\

$$\begin{tabular}{|c|c|c|} \\hline colors & female & male \\\\ \\hline brown eyes & 5 & 9 \\\\ \\hline blue eyes & 4 & 2 \\\\ \\hline green eyes & 3 & 4 \\\\ \\hline \\end{tabular}$$

\\( x = \

$$\begin{bmatrix} 5 & 9 \\\\ 4 & 2 \\\\ 3 & 4 \\end{bmatrix}$$

\\)

\\( x = \

$$\begin{bmatrix} 5 & 9 \\\\ 2 & 2 \\\\ 3 & 4 \\end{bmatrix}$$

\\)

Explanation:

Identify the dimensions of the target matrix

Using the Matrix Dimensions knowledge point

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

Extract data from the table

Using the Data Organization knowledge point

$$
LATEXBLOCK0
$$

Construct the matrix representation

Using the Matrix Representation and Matrix Construction knowledge points

$$ X =
LATEXBLOCK1
$$

Answer:

• **(A) \(X =

$$\begin{bmatrix} 5 & 9 \\ 4 & 2 \\ 3 & 4 \end{bmatrix}$$

\) (Correct answer)**

• (B) \(X =

$$\begin{bmatrix} 5 & 9 \\ 2 & 2 \\ 3 & 4 \end{bmatrix}$$

\)