Slide15.JPG

Slide16.JPG
Slide17.JPG

 

Go Ad-free

Transcript

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.