비상 p124 문제 09 풀이

Canonical URI: https://w3id.org/kmath/textbook_solution/visang_solution_p155_p124_01

rdf:typemath:TextbookSolution
rdfs:label비상 p124 문제 09 풀이
rdfs:comment비상 공통수학1 정답 및 해설 p155의 p124 문제 09 풀이.
math:answerText(1) \(AB\ne BA\) (2) \(AB=O\)
math:explanationText(1) \[ AB= \begin{pmatrix}1&0\\2&3\end{pmatrix} \begin{pmatrix}0&2\\-1&1\end{pmatrix} = \begin{pmatrix}0&2\\-3&7\end{pmatrix} \] \[ BA= \begin{pmatrix}0&2\\-1&1\end{pmatrix} \begin{pmatrix}1&0\\2&3\end{pmatrix} = \begin{pmatrix}4&6\\1&3\end{pmatrix} \] 따라서 \(AB\ne BA\) (2) \[ AB= \begin{pmatrix}3&2\\9&6\end{pmatrix} \begin{pmatrix}-2&6\\3&-9\end{pmatrix} = \begin{pmatrix}0&0\\0&0\end{pmatrix} \] 따라서 \(AB=O\)
math:mappingConfidence1.0
math:pageStart155
math:problemtextbook_problem:visang_vision_p124_01
math:reviewStatusreviewed
math:solutionKindworked_solution
math:usesSolutionPatternsolution_pattern:matrix_product_row_column