If A is a square matrix of order 3, |A′|=-3, then |AA′|=
(a) 9
(b) -9
(c) 3
(d) -3
CBSE Class 12 Sample Paper for 2023 Boards
CBSE Class 12 Sample Paper for 2023 Boards
Last updated at Dec. 13, 2024 by Teachoo
Transcript
Question 2 If A is a square matrix of order 3, |𝐴′|=−3, then |𝐴𝐴′|= (a) 9 (b) -9 (c) 3 (d) -3We know that |𝑨′|=|𝐀|= −3 Now, |𝑨𝑨′|=|𝐴| ×|𝐴^′ | = −3 × −3 = 9 So, the correct answer is (a)