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Question:

Let A be a square matrix of order 3x3. Write the value of |2A|, where |A|=4.

Solution:

In a square matrix of order 3x3, |kA| = k³|A| ∴ |2A| = 2³|A| Since |A| = 4 therefore, |2A| = 2³|A| = 2³(4) = 8(4) = 32 Hence, |2A| = 32.