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যদি a, b, c অ-শূন্য বাস্তব সংখ্যা হয়, তাহলে    ম্যাট্রিক্সের বিপরীতের সমান কত হবে?

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অনুসৃত ধারণা:

একটি ম্যাট্রিক্সের বিপরীত: একটি n × n ম্যাট্রিক্সের বিপরীতটি এইভাবে প্রদত্ত :

যেখানে adj(A) কে সন্নিহিত ম্যাট্রিক্স বলা হয়।

সন্নিহিত ম্যাট্রিক্স: যদি Bn × n ম্যাট্রিক্স An × n এর একটি কোফ্যাক্টর ম্যাট্রিক্স হয় তবে A n × n এর সন্নিহিত ম্যাট্রিক্স adj(A) দ্বারা চিহ্নিত করা হয় এবং BT হিসাবে সংজ্ঞায়িত করা হয়। সুতরাং, adj(A) = BT

গণনা:

প্রদত্ত:

আমরা জানি যে,

⇒ |A| = [a (bc - 0) - 0(0) - 0(0)]

⇒ |A| = abc

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