Question
Download Solution PDFजर A क्रम 3 ची अविकारक सारणी असेल, तर त्याचा व्यस्त (A-1) किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
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A हा क्रम n ची कोणतीही सारणी असेल आणि तिची व्यस्त सारणी अस्तित्वात असेल तर आपण खालीलप्रमाणे लिहू शकतो
AA-1 = A-1A = I, जेथे I = n क्रमाची अविकारक सारणी
गणना
दिलेल्याप्रमाणे: A क्रम 3 ची अविकारक सारणी असेल म्हणजे, A = I
दोन्ही बाजूंना A-1 द्वारे गुणाकार केल्यास, आपणास खालीलप्रमाणे मिळते,
⇒ AA-1 = IA-1
⇒ I = A-1 [∵ सारणीला अविकारक सारणीने गुणाकार केल्यास सारणी मिळते, म्हणजे, AI = A]
⇒ A = A-1Last updated on Jun 18, 2025
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