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ম্যাট্রিক্স এর নির্ণায়ক নির্ণয় করুন।

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  1. abc
  2. xyz
  3. 0
  4. ax + by + cz

Answer (Detailed Solution Below)

Option 3 : 0
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ধারণা:

ম্যাট্রিক্সের নির্ণায়কের নিয়মাবলী:

  • যদি কোন নির্ণায়কের যেকোনো সারি বা স্তম্ভের প্রতিটি উপাদান 0 হয়, তাহলে নির্ণায়কের মান শূন্য হবে।
  • যেকোনো বর্গ ম্যাট্রিক্স A-এর জন্য, |A| = |AT|।
  • যদি আমরা কোন ম্যাট্রিক্সের দুটি সারি (স্তম্ভ) পরস্পর বিনিময় করি, তাহলে নির্ণায়ক -1 দিয়ে গুণিত হয়।
  • যদি কোন ম্যাট্রিক্সের দুটি সারি (স্তম্ভ) একই হয়, তাহলে নির্ণায়কের মান শূন্য হবে।

গণনা:

R1 → R1 + R2 প্রয়োগ করলে

=

দেখা যাচ্ছে যে, প্রদত্ত ম্যাট্রিক্সের প্রথম এবং তৃতীয় সারি সমান।

আমরা জানি, যদি কোন ম্যাট্রিক্সের দুটি সারি (স্তম্ভ) একই হয়, তাহলে নির্ণায়কের মান শূন্য হবে।

= 0

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Latest Airforce Group X Updates

Last updated on Jun 30, 2025

->Indian Airforce Agniveer (02/2026) Notification has been released. Interested candidates can apply between 11th July to 31st July 2025.

->The Examination will be held 25th September 2025 onwards.

-> Earlier, Indian Airforce Agniveer Group X 2025 Last date had been extended.

-> Candidates applied online from 7th to 2nd February 2025.

-> The online examination was conducted from 22nd March 2025 onwards.

-> The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination).

-> The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000.

-> This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.

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