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যদি  এবং হয়, তবে |AB| = ?

  1. -91
  2. -17
  3. 84
  4. কোনোটিই নয়

Answer (Detailed Solution Below)

Option 1 : -91
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Detailed Solution

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ধারণা:

ম্যাট্রিক্সের গুণফলের নির্ণায়ক ম্যাট্রিক্সগুলির নির্ণায়কগুলির গুণফলের সমান।

অর্থাৎ, |AB| = |A| |B|.

 

গণনা:

প্রদত্ত  এবং 

এখন, |AB| = |A| |B| = (2 - 15)(9 - 2) = -91.

 

Additional Information:

AB ম্যাট্রিক্সের গুণফল হবে  =  = .

এবং |AB| = 96 - 187 = -91

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