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find the order of the given matrix. \\\\begin{bmatrix} 6 & 6 & 6 \\\\ 6…

Question

find the order of the given matrix.
\\\

$$\begin{bmatrix} 6 & 6 & 6 \\\\ 6 & 6 & 6 \\\\ 6 & 6 & 6 \\end{bmatrix}$$

\\

\\(1 \times 3\\)

\\(3 \times 3\\)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
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"needs_drawing": false,
"concepts_used": [
"Matrix Dimensions"
],
"new_concepts": [],
"current_concepts": [
"Matrix Dimensions",
"Matrix Terminology"
]
}
</pre_analysis>

<reasoning>

Identify the matrix structure

Using the Matrix Dimensions knowledge point
\[
A =

$$\begin{bmatrix} 6 & 6 & 6 \\ 6 & 6 & 6 \\ 6 & 6 & 6 \end{bmatrix}$$

\]

Count the horizontal rows

Using the Matrix Dimensions knowledge point
\[
\text{Rows} = 3
\]

Count the vertical columns

Using the Matrix Dimensions knowledge point
\[
\text{Columns} = 3
\]

Determine the matrix order

Using the Matrix Dimensions knowledge point
\[
\text{Order} = \text{Rows} \times \text{Columns} = 3 \times 3
\]
</reasoning>

<answer>
<mcq-option>(A) \(1 \times 3\)</mcq-option>
<mcq-correct>(B) \(3 \times 3\)</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Matrix Dimensions"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Matrix Dimensions"
],
"new_concepts": [],
"current_concepts": [
"Matrix Dimensions",
"Matrix Terminology"
]
}
</pre_analysis>

<reasoning>

Identify the matrix structure

Using the Matrix Dimensions knowledge point
\[
A =

$$\begin{bmatrix} 6 & 6 & 6 \\ 6 & 6 & 6 \\ 6 & 6 & 6 \end{bmatrix}$$

\]

Count the horizontal rows

Using the Matrix Dimensions knowledge point
\[
\text{Rows} = 3
\]

Count the vertical columns

Using the Matrix Dimensions knowledge point
\[
\text{Columns} = 3
\]

Determine the matrix order

Using the Matrix Dimensions knowledge point
\[
\text{Order} = \text{Rows} \times \text{Columns} = 3 \times 3
\]
</reasoning>

<answer>
<mcq-option>(A) \(1 \times 3\)</mcq-option>
<mcq-correct>(B) \(3 \times 3\)</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Matrix Dimensions"
]
}
</post_analysis>