The determinant of a 4 × 4 matrix A is 3. The value of the determinant of 2A…
2026
The determinant of a 4 × 4 matrix A is 3. The value of the determinant of 2A is ____________. (answer in integer)
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Correct answer: 48
For an n × n matrix A, det(kA) = kⁿ det(A). Here n = 4 and k = 2. Hence, det(2A) = 2⁴ det(A) = 16 × 3 = 48. Therefore, the required integer answer is 48.
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