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If a 4x4 matrices has det(A) as 1/2. Find det(2A)

Guest Oct 11, 2015

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$\mbox{For a }n \times n \mbox{ matrix A, }Det[c A] = c^n Det[A], c \in \mathbb{R} \\ \mbox{so for }n=4, c=2, Det[2a]=2^4 Det[A] = 16 Det[A] = 16 \times \dfrac 1 2 = 8$

Rom Oct 11, 2015

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Rom · Answer 1 · 2015-10-11T02:05:07

$\mbox{For a }n \times n \mbox{ matrix A, }Det[c A] = c^n Det[A], c \in \mathbb{R} \\ \mbox{so for }n=4, c=2, Det[2a]=2^4 Det[A] = 16 Det[A] = 16 \times \dfrac 1 2 = 8$

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