find the element of $a_{21}$ of the given matrix.
\a = \begin{bmatrix} 1 & -1 & 3 \\ 2 & 0 & 6 \end{bmatrix}\

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Question

find the element of $a_{21}$ of the given matrix.
\a = \begin{bmatrix} 1 & -1 & 3 \\ 2 & 0 & 6 \end{bmatrix}\

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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 target element index Using the *Matrix Element Indexing* knowledge point $$ a_{ij} \implies i = 2, \quad j = 1 $$ ## Locate the element in the matrix Using the *Matrix Element Indexing* knowledge point $$ A = \begin{bmatrix} 1 & -1 & 3 \ 2 & 0 & 6 \end{bmatrix} \implies a_{21} = 2 $$

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

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Explanation:

Identify the target element index

Locate the element in the matrix

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