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ম্যাট্রিক্স \(\rm \begin{bmatrix} 3 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & 0 \end{bmatrix}\) কী ধরণের ম্যাট্রিক্স?

  1. অভেদক ম্যাট্রিক্স
  2. প্রতিসম ম্যাট্রিক্স
  3. বিপ্রতিসম ম্যাট্রিক্স
  4. কোনওটিই না

Answer (Detailed Solution Below)

Option 2 : প্রতিসম ম্যাট্রিক্স
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Detailed Solution

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ধারণা:

একটি বর্গ ম্যাট্রিক্স A = [a ij ]n × n কে প্রতিসম বলা হয় যদি AT = A হয়

সারিগুলিকে কলামে এবং কলামগুলিকে সারিতে পরিবর্তন করে AT (স্থানান্তর) পাওয়া যায়

গণনা:

ধরি, A = \(\rm \begin{bmatrix} 3 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & 0 \end{bmatrix}\)

AT = \(\rm \begin{bmatrix} 3 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & 0 \end{bmatrix}\)  = A

A একটি প্রতিসম ম্যাট্রিক্স

Download Solution PDF
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