Question

a football team coach has marked the goals scored by three players. find the element \\(a_{22}\\), and matrix for given data.

\\(\

$$\begin{array}{ccc} & \\text{goals scored in first} & \\text{goals scored in second} \\\\ & \\text{match} & \\text{match} \\\\ \\text{player a} & 2 & 1 \\\\ \\text{player b} & 2 & 4 \\\\ \\text{player c} & 1 & 2 \\end{array}$$

\\)

\\(\circ \

$$\begin{bmatrix} 2 & 1 \\\\ 4 & 2 \\\\ 1 & 2 \\end{bmatrix}$$

, 4\\)

Explanation:

Construct the matrix from the given data table

Using the Matrix Representation knowledge point

$$ A =
LATEXBLOCK0
$$

Identify the element at index a22

Using the Matrix Element Indexing knowledge point

$$ a_{22} = 4 $$

Answer:

• (A) \(

$$\begin{bmatrix} 2 & 1 \\ 4 & 2 \\ 1 & 2 \end{bmatrix}$$

, 4\)

• **(B) \(

$$\begin{bmatrix} 2 & 1 \\ 2 & 4 \\ 1 & 2 \end{bmatrix}$$

, 4\) (Correct answer)**

• (C) \(

$$\begin{bmatrix} 2 & 1 \\ 2 & 4 \\ 1 & 2 \end{bmatrix}$$

, 2\)

• (D) \(

$$\begin{bmatrix} 2 & 1 \\ 4 & 2 \\ 1 & 2 \end{bmatrix}$$

, 2\)