Question 13 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

If A is a square matrix of order 3 and |A| = 5, then |adjA|=

(a) 5

(b) 25

(c) 125

(d) 1/5

This question is Similar to Question-1 CBSE - Class-12 - Sample-Paper-for-2020-Boards

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Transcript

Question 13 If A is a square matrix of order 3 and |A| = 5, then |𝑎𝑑𝑗𝐴|= (a) 5 (b) 25 (c) 125 (d) 1/5 We know that |𝒂𝒅𝒋 𝑨| = |𝑨|^(𝒏−𝟏) where n is the order of determinant Given Order = n = 3 So, |𝒂𝒅𝒋 𝑨| = |𝑨|^(𝟑−𝟏) |𝑎𝑑𝑗 𝐴| = |A|^2 |𝑎𝑑𝑗 𝐴| = 52 |𝒂𝒅𝒋 𝑨| = 25 So, correct answer is (b)

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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

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