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Question 7 If 𝐴=[■(0&1&𝑐@−1&𝑎&−𝑏@2&3&0)] is a skew-symmetric matrix then the value of 𝑎+𝑏+𝑐= (A) 1 (B) 2 (C) 3 (D) 4 In a skew symmetric matrix A’ = −A Putting values [■(0&−1&2@1&𝑎&3@c&−b&0)]=−[■(0&1&𝑐@−1&𝑎&−𝑏@2&3&0)] [■(0&−1&2@1&𝑎&3@c&−b&0)]=[■(−0&−1&−𝑐@−(−1)&−𝑎&−(−𝑏)@−2&−3&−0)] [■(0&−1&2@1&𝑎&3@c&−b&0)]=[■(0&−1&−𝑐@1&−𝑎&𝑏@−2&−3&0)] Since matrices are equal, its corresponding terms are equal. So, c = −2 b = 3 And, a = − a a + a = 0 2a = 0 a = 0 Thus, a + b + c = 0 + 3 − 2 = 1 So, the correct answer is (A)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo