Let A be a 3 3 matrix such that |adj A| = 64. Then |A| is equal to
Question
Let A be a 3 3 matrix such that |adj A| = 64. Then |A| is equal to
Solution
The determinant of a matrix A is related to the determinant of its adjugate (adj A) by the formula:
|A| = √(|adj A|)
Given that |adj A| = 64, we can substitute this into the formula to find |A|:
|A| = √(64)
Therefore, |A| = 8.
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