CBSE Class 12 Sample Paper for 2025 Boards

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

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 August 14, 2026 by

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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Question 4 If 𝐴 and 𝐡 are non-singular matrices of same order with det(𝐴)=5, then det(𝐡^(βˆ’1) 𝐴𝐡)^2 is equal to (A) 5 (B) 5^2 (C) 5^4 (D) 5^5Given |A|=5 We need to find 𝐝𝐞𝐭(𝑩^(βˆ’πŸ) 𝑨𝑩)^𝟐=|𝐡^(βˆ’1) 𝐴𝐡|^2 =|γ€–(𝑩𝑩〗^(βˆ’πŸ))𝐴|^2 Since 〖𝐡𝐡〗^(βˆ’1)=𝐼 =|𝑰𝐴|^2 Since 𝐼𝐴=𝐴 =|𝐴|^2 Putting |A|=5 =πŸ“^𝟐 So, the correct answer is (B)

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