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If A is a square matrix of order 3, |𝐴′| = −3, then |𝐴𝐴′| =

Class 12th Mathematics, Question -If A is a square matrix of order 3, |𝐴′| = −3, then |𝐴𝐴′| =

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February 15, 2023

These are the options for the question :If A is a square matrix of order 3, |𝐴′| = −3, then |𝐴𝐴′| =

(a) 9 (b) -9 (c) 3 (d) -3

The correct answer is -(a) |𝐴𝐴 ᇱ | = |𝐴||𝐴′| = (−3)(−3) = 9