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Question
Given that A is a square matrix of order 3 and |A| = –2, then |adj(2A)| is equal to ______.
Options
–26
+4
–28
28
Solution
Given that A is a square matrix of order 3 and |A| = –2, then |adj(2A)| is equal to 28.
Explanation:
|adj(2A)| = |(2A)|2
= (23 |A|)2
= 26 |A|2
= 26 × (–2)2
= 28.
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