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\(\left[ {\begin{array}{*{20}{c}} a&b\\ c&d \end{array}} \right]\)இன் இணைப்பு அணி?

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TNUSRB SI 2020 Official Paper (Held on 12 January 2020)
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  1. \(\left[ {\begin{array}{*{20}{c}} a&b\\ c&d \end{array}} \right]\)
  2. \(\left[ {\begin{array}{*{20}{c}} -a&-b\\ -c&-d \end{array}} \right]\)
  3. \(\left[ {\begin{array}{*{20}{c}} d&-b\\ -c&a \end{array}} \right]\)
  4. \(\left[ {\begin{array}{*{20}{c}} d&b\\ c&a \end{array}} \right]\)

Answer (Detailed Solution Below)

Option 3 : \(\left[ {\begin{array}{*{20}{c}} d&-b\\ -c&a \end{array}} \right]\)
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Detailed Solution

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விளக்கம்:
 
1. 2x2 அணி A உடன் தொடங்கவும்:
 
A = [a c]
[b d]
 
2. முக்கிய மூலைவிட்டத்தில் உள்ள உறுப்புகளை மாற்றுவதன் மூலமும் மற்ற மூலைவிட்டத்தில் உள்ள உறுப்புகளின் குறிகளை மாற்றுவதன் மூலமும் ஒரு மேட்ரிக்ஸின் இணைப்பு (இணைப்பணி என்றும் அழைக்கப்படுகிறது) கண்டறியப்படுகிறது. இதை ஒரு சூத்திரமாக வெளிப்படுத்தலாம்:
 
adj(A) = [d -c]
[-b a]
சரியான பதில் விருப்பம் 3.
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Latest TNUSRB SI Updates

Last updated on Jun 13, 2025

->TNUSRB SI Written Exam has been postponed.

-> The TNUSRB SI Notification 2025 was released on 4th April 2025.

-> A total of 1299 vacancies have been released. 

-> Candidates can apply online from 7th April to 3rd May 2025.

-> The TNUSRB SI Notification has been released for the recruitment of Sub-Inspectors of Police for Taluk and Armed Forces in the Tamil Nadu Police Department.  

-> The selection process includes a written test, PMT, PET, endurance test, medical examination, and certificate verification. Refer to the TNUSRB SI Previous Year Papers to prepare well for the exam.

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