Given that A is a square matrix of order 3×3 and |A| =  -4. Find |adj A|

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Transcript

Question 5 (Choice 2) Given that A is a square matrix of order 3 ร— 3 and |A| = โˆ’4. Find |adj A| We know that |๐‘Ž๐‘‘๐‘— ๐ด| = |A|^(๐‘›โˆ’1) where n is the order of determinant Given Order = n = 3 So, |๐‘Ž๐‘‘๐‘— ๐ด| = |A|^(3โˆ’1) |๐‘Ž๐‘‘๐‘— ๐ด| = |A|^2 |๐‘Ž๐‘‘๐‘— ๐ด| = (โˆ’4)2 |๐’‚๐’…๐’‹ ๐‘จ| = 16

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.