Question 5 (Choice 2) - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

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

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

Transcript

Question 5 (Choice 2) Given that A is a square matrix of order 3 × 3 and |A| = −4. Find |adj A| 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

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