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Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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|

Question 1 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2


Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.