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If A is any square matrix of order 3 Γ— 3 such that |A| = 3, then the value of |adj A| is ?Β 

(a) 3 Β  Β Β Β Β Β Β (b) 1/3Β  (c) 9Β  Β  Β Β Β Β Β Β Β (d) 27

If A is square matrix of order 3 x 3 such that |A| = 3, then |adj A|

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Question 1 If A is any square matrix of order 3 Γ— 3 such that |𝐴| = 3, then the value of |π‘Žπ‘‘π‘— 𝐴| is ? (a) 3 (b) 1/3 (c) 9 (d) 27 We know that |π‘Žπ‘‘π‘— 𝐴| = |A|^(π‘›βˆ’1) where n is the order of determinant Given Order = n = 3 So, |π‘Žπ‘‘π‘— 𝐴| = |A|^(3βˆ’1) |π‘Žπ‘‘π‘— 𝐴| = |A|^2 |π‘Žπ‘‘π‘— 𝐴| = 32, |𝒂𝒅𝒋 𝑨| = 9 So, correct answer is (c) - 9 1 mark

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.