If A is any square matrix of order 3 × 3 such that |A| = 3, then the value of|adjA| is
Question
If A is any square matrix of order 3 × 3 such that |A| = 3, then the value of |adjA| is
Solution
The value of |adjA| for a square matrix A of order 3x3 with |A| = 3 is calculated using the formula |adjA| = |A|^(n-1), where n is the order of the matrix.
Here, n = 3 (since it's a 3x3 matrix), so the formula becomes |adjA| = |A|^(3-1) = |A|^2.
Given that |A| = 3, we substitute this into the formula to get |adjA| = 3^2 = 9.
So, the value of |adjA| is 9.
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