For determinants, when all elements of a matrix are multiplied by a scalar k, the determinant gets multiplied by kn, where n is the order of the matrix.
For any n×n matrix A and scalar k: ∣kA∣=kn∣A∣
In our problem:
∣2A∣=24⋅∣A∣
∣2A∣=16⋅4
∣2A∣=64
If A is a square matrix of order 4 and ∣A∣=4, then ∣2A∣ will be :
Held on 16 May 2024 · Verified 13 Jul 2026.
8
64
16
4
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