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Question
If A and B are square matrices of order 3 × 3 and |A| = –1, |B| = 3, then |3AB| equals ______.
Options
81
–81
–27
–9
MCQ
Fill in the Blanks
Solution
If A and B are square matrices of order 3 × 3 and |A| = –1, |B| = 3, then |3AB| equals –81.
Explanation:
|3AB| = 27|AB|
= 27|A||B|
= 27(–1) × 3
= –81
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