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Question 6 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

Given that A is a square matrix of order 3 and |A| = −4, then adj A| is equal to:

(a) −4     (b) 4
(c) −16   (d) 16

This question is inspired from Question 5 (Choice 2) - CBSE Class 12 Sample Paper for 2021 Boards

Transcript

Question 6 Given that A is a square matrix of order 3 and |A| = −4, then adj A| is equal to: (a) −4 (b) 4 (c) −16 (d) 16 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| = (−4)2 |𝒂𝒅𝒋 𝑨| = 16 So, the correct answer is (d)
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

    CBSE Class 12 Sample Paper for 2021 Boards →
CBSE Class 12 Sample Paper for 2021 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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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