Question 4 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Feb. 12, 2025 by Teachoo

Question 4 - If A and B are non-singular matrices, det(A) = 5 then det - CBSE Class 12 Sample Paper for 2025 Boards

part 2 - Question 4 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

Question 4 If 𝐴 and 𝐵 are non-singular matrices of same order with det(𝐴)=5, then det(𝐵^(−1) 𝐴𝐵)^2 is equal to (A) 5 (B) 5^2 (C) 5^4 (D) 5^5Given |A|=5 We need to find 𝐝𝐞𝐭(𝑩^(−𝟏) 𝑨𝑩)^𝟐=|𝐵^(−1) 𝐴𝐵|^2 =|〖(𝑩𝑩〗^(−𝟏))𝐴|^2 Since 〖𝐵𝐵〗^(−1)=𝐼 =|𝑰𝐴|^2 Since 𝐼𝐴=𝐴 =|𝐴|^2 Putting |A|=5 =𝟓^𝟐 So, the correct answer is (B)

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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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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