Question

there are three classes a, b, and c is a school. class a has 12 boys and 8 girls. class b has 20 boys and 50 girls. class c has 20 boys and 15 girls. represent the given data the given data in a \\(2 \times 3\\) matrix. if the matrix is \\(x\\), find \\(x_{22}\\).

8
50

Explanation:

Define matrix dimensions and layout

Using the Matrix Dimensions and Data Organization knowledge points

$$ \text{Rows (2): Boys, Girls} \quad \text{Columns (3): Class A, Class B, Class C} $$

Construct the data matrix

Using the Matrix Representation and Matrix Construction knowledge points

$$ X =
LATEXBLOCK0
$$

Identify the requested element

Using the Matrix Element Indexing and Matrix Terminology knowledge points

$$ x_{22} = \text{Row 2, Column 2} = 50 $$

Answer:

• (A) 8
• (B) 50 (Correct answer)