Question

question 25 points 1

find the element \\(a_{22}\\) of the given matrix.

\\a = \

$$\begin{bmatrix} 34 & 11 & 45 \\\\ 33 & 94 & 53 \\\\ 30 & 121 & 44 \\end{bmatrix}$$

\\

\\(\bigcirc\\) 94

\\(\bigcirc\\) 11

Explanation:

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<reasoning>

Identify the target element

Using the Matrix Element Indexing knowledge point
\[
a_{ij} \text{ represents the element in row } i \text{ and column } j.
\]

Locate the row and column

Using the Matrix Representation knowledge point
\[

$$\begin{aligned} &\text{For } a_{22}, \text{ we look at row } 2 \text{ and column } 2.\\ &\text{Row 2: } \begin{bmatrix} 33 & 94 & 53 \end{bmatrix}\\ &\text{Column 2: } \begin{bmatrix} 11 \\ 94 \\ 121 \end{bmatrix} \end{aligned}$$

\]

Determine the element value

Using the Matrix Element Indexing knowledge point
\[
a_{22} = 94
\]
</reasoning>

<answer>
<mcq-correct>(A) 94</mcq-correct>
<mcq-option>(B) 11</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the target element

Using the Matrix Element Indexing knowledge point
\[
a_{ij} \text{ represents the element in row } i \text{ and column } j.
\]

Locate the row and column

Using the Matrix Representation knowledge point
\[

$$\begin{aligned} &\text{For } a_{22}, \text{ we look at row } 2 \text{ and column } 2.\\ &\text{Row 2: } \begin{bmatrix} 33 & 94 & 53 \end{bmatrix}\\ &\text{Column 2: } \begin{bmatrix} 11 \\ 94 \\ 121 \end{bmatrix} \end{aligned}$$

\]

Determine the element value

Using the Matrix Element Indexing knowledge point
\[
a_{22} = 94
\]
</reasoning>

<answer>
<mcq-correct>(A) 94</mcq-correct>
<mcq-option>(B) 11</mcq-option>
</answer>

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