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If A+B+C= pi, show that the determinant in the attached image is equal to zero by using properties

If A+B+C= pi, show that the determinant in the attached image is equal to zero by using properties

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Grade:12

3 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
7 years ago
in picture
512-2174_Photo on 19-05-16 at 11.27 AM.jpg
mycroft holmes
272 Points
7 years ago
Write the given determinant as 
 
and note that AT = -A (i.e. the matrix is a skew symmetric matrix) and hence the determinant is zero.
 
i.e. 
Rishi Sharma
askIITians Faculty 646 Points
2 years ago
645-1241_WhatsApp Image 2020-08-10 at 10.35.46 PM.jpeg
Thanks and Regards

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