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

(a) 5 Ā 

(b) 25 Ā 

(c) 125 Ā 

(d) 1/5

Ā 

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

[MCQ] If A is a square matrix of order 3 and |A| = 5, then |š‘Žš‘‘š‘—š“| - CBSE Class 12 Sample Paper for 2023 Boards

part 2 - Question 13 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 13 If A is a square matrix of order 3 and |A| = 5, then |š‘Žš‘‘š‘—š“|= (a) 5 (b) 25 (c) 125 (d) 1/5 We know that |š’‚š’…š’‹ š‘Ø| = |š‘Ø|^(š’āˆ’šŸ) where n is the order of determinant Given Order = n = 3 So, |š’‚š’…š’‹ š‘Ø| = |š‘Ø|^(šŸ‘āˆ’šŸ) |š‘Žš‘‘š‘— š“| = |A|^2 |š‘Žš‘‘š‘— š“| = 52 |š’‚š’…š’‹ š‘Ø| = 25 So, correct answer is (b)

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