Question

the amount of protein, fat, carbohydrate in grams present in each food item are given below:

\

$$\begin{tabular}{|c|c|c|c|} \\hline & protein & fat & carbohydrate \\\\ \\hline item 1 & 1 & 2 & 3 \\\\ \\hline item 2 & 4 & 5 & 5 \\\\ \\hline item 3 & 2 & 1 & 0 \\\\ \\hline \\end{tabular}$$

write them in a matrix form.

\\(\bigcirc\\) \\(\

$$\begin{bmatrix} 1 & 4 & 2 \\\\ 2 & 5 & 1 \\\\ 3 & 5 & 0 \\end{bmatrix}$$

\\)

\\(\bigcirc\\) \\(\

$$\begin{bmatrix} 1 & 2 & 3 \\\\ 4 & 5 & 5 \\\\ 2 & 1 & 0 \\end{bmatrix}$$

\\)

Explanation:

Identify the table structure

The table has 3 rows representing food items (Item 1, Item 2, Item 3) and 3 columns representing nutrients (Protein, Fat, Carbohydrate).

Extract the data values

The values in the table are:

• Row 1 (Item 1): 1, 2, 3
• Row 2 (Item 2): 4, 5, 5
• Row 3 (Item 3): 2, 1, 0

Construct the matrix representation

$$
LATEXBLOCK0
$$

Answer:

• (A) \(

$$\begin{bmatrix} 1 & 4 & 2 \\ 2 & 5 & 1 \\ 3 & 5 & 0 \end{bmatrix}$$

\)

• **(B) \(

$$\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 5 \\ 2 & 1 & 0 \end{bmatrix}$$

\) (Correct answer)**