If A is any square matrix of order 3 × 3 such that |A| = 3, then the value of |adj A| is ?
(a) 3 (b) 1/3 (c) 9 (d) 27
Last updated at Oct. 17, 2019 by Teachoo
Transcript
Question 1 If A is any square matrix of order 3 ร 3 such that |๐ด| = 3, then the value of |๐๐๐ ๐ด| is ? (a) 3 (b) 1/3 (c) 9 (d) 27 We know that |๐๐๐ ๐ด| = |A|^(๐โ1) where n is the order of determinant Given Order = n = 3 So, |๐๐๐ ๐ด| = |A|^(3โ1) |๐๐๐ ๐ด| = |A|^2 |๐๐๐ ๐ด| = 32, |๐๐ ๐ ๐จ| = 9 So, correct answer is (c) - 9 1 mark
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