Question

question 16 points 1

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 and elements from the table

$$ \text{Rows (Eye Colors): Brown, Blue, Green (3 rows)} $$

$$ \text{Columns (Gender): Female, Male (2 columns)} $$

Construct the matrix entries

$$ X =
LATEXBLOCK0
$$

Match with the given options

$$ \text{Option 1 matches } X =
LATEXBLOCK1
$$

Answer:

• **(A) \(X =

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

\) (Correct answer)**

• (B) \(X =

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

\)