Canonical URI: https://w3id.org/kmath/textbook_solution/visang_solution_p159_workbook_p140_07
| rdf:type | math:TextbookSolution |
|---|---|
| rdfs:label | 비상 p140 수학 익힘책 IV-07 풀이 |
| rdfs:comment | 비상 공통수학1 정답 및 해설 p159의 수학 익힘책 p140 IV-07 풀이. |
| math:answerText | \[ \begin{pmatrix}-5\\8\end{pmatrix} \] |
| math:explanationText | \(A=\begin{pmatrix}a&b\\c&d\end{pmatrix}\) \((a,\ b,\ c,\ d\text{는 실수})\)라고 하면 \[ A\begin{pmatrix}1\\0\end{pmatrix}=\begin{pmatrix}a\\c\end{pmatrix} = \begin{pmatrix}-1\\3\end{pmatrix},\quad A\begin{pmatrix}0\\1\end{pmatrix}=\begin{pmatrix}b\\d\end{pmatrix} = \begin{pmatrix}3\\-2\end{pmatrix} \] 즉, \[ A=\begin{pmatrix}-1&3\\3&-2\end{pmatrix} \] 이므로 \[ A\begin{pmatrix}2\\-1\end{pmatrix}=\begin{pmatrix}-5\\8\end{pmatrix} \] |
| math:mappingConfidence | 1.0 |
| math:pageStart | 159 |
| math:problem | textbook_problem:visang_workbook_p140_07 |
| math:reviewStatus | reviewed |
| math:solutionKind | worked_solution |
| math:usesSolutionPattern | solution_pattern:matrix_equality_component_equations |
| math:usesSolutionPattern | solution_pattern:matrix_product_row_column |