Canonical URI: https://w3id.org/kmath/textbook_solution/visang_solution_p156_p130_03
| rdf:type | math:TextbookSolution |
|---|---|
| rdfs:label | 비상 p130 대단원 학습 평가 16 풀이 |
| rdfs:comment | 비상 공통수학1 정답 및 해설 p156의 p130 대단원 학습 평가 16 풀이. |
| math:answerText | \[ A\begin{pmatrix}p\\q\end{pmatrix} = \begin{pmatrix}3\\1\end{pmatrix} \] |
| math:explanationText | \(A=\begin{pmatrix}a&b\\c&d\end{pmatrix}\)라고 하면 \[ A\begin{pmatrix}p\\0\end{pmatrix} = \begin{pmatrix}ap\\cp\end{pmatrix} = \begin{pmatrix}2\\-3\end{pmatrix} \] \[ A\begin{pmatrix}p\\2q\end{pmatrix} = \begin{pmatrix}ap+2bq\\cp+2dq\end{pmatrix} = \begin{pmatrix}4\\5\end{pmatrix} \] 즉, \(ap=2,\ cp=-3,\ bq=1,\ dq=4\). 따라서 \[ A\begin{pmatrix}p\\q\end{pmatrix} = \begin{pmatrix}ap+bq\\cp+dq\end{pmatrix} = \begin{pmatrix}3\\1\end{pmatrix} \] |
| math:mappingConfidence | 1.0 |
| math:pageStart | 156 |
| math:problem | textbook_problem:visang_vision_p130_03 |
| math:reviewStatus | reviewed |
| math:solutionKind | worked_solution |
| math:usesSolutionPattern | solution_pattern:matrix_equality_component_equations |
| math:usesSolutionPattern | solution_pattern:matrix_product_row_column |