find the element $a_{31}$ of the given matrix.
\a = \begin{bmatrix} 2 & 0 & 3 \\ -1 & 3 & 6 \\ 8 & 9 & 4 \end{bmatrix}\

$\bigcirc$ 8
$\bigcirc$ 2

Question

find the element $a_{31}$ of the given matrix.
\a = \begin{bmatrix} 2 & 0 & 3 \\ -1 & 3 & 6 \\ 8 & 9 & 4 \end{bmatrix}\

$\bigcirc$ 8
$\bigcirc$ 2

Accepted Answer

{ "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 Element Indexing" ], "new_concepts": [], "current_concepts": [ "Matrix Element Indexing", "Matrix Terminology" ] } ## Identify the element index Using the *Matrix Element Indexing* knowledge point $$ a_{ij} \implies i = 3, \quad j = 1 $$ ## Locate the row and column Using the *Matrix Element Indexing* knowledge point $$ \text{Row } 3 = \begin{bmatrix} 8 & 9 & 4 \end{bmatrix}, \quad \text{Column } 1 = \begin{bmatrix} 2 \ -1 \ 8 \end{bmatrix} $$ ## Find the intersection element Using the *Matrix Element Indexing* knowledge point $$ a_{31} = 8 $$

(A) 8

(B) 2

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Matrix Element Indexing" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the element index

Locate the row and column

Find the intersection element

Answer: