Question
Download Solution PDFयदि आव्यूह A सममित व विषम-सममित आव्यूह भी है, तो निम्न में से क्या सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
माना कि एक आव्यूह A विषम-सममित आव्यूह है, तो AT = −A
और A सममित आव्यूह है, तो AT = A है।
गणना:
चूँकि, A विषम-सममित है।
AT = −A
चूँकि, A सममित है।
AT = A
⇒ −A = A
⇒2A = O
⇒A = O
इसलिए, A एक शून्य आव्यूह है।
अतः विकल्प (4) सही है।
Last updated on Jun 11, 2025
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