If A is a 4\times4 matrix and \det2A=192, then \detA=

AP ICET 2015 Paper

Question : 132 of 200

Marks: +1, -0

If A is a

4×4

matrix and

\det2A=192

, then

\detA=

Solution:

Given : det 2A = 192 and A is a 4 × 4 matrix.
For a square matrix A of order n,
det

kA=k^n

det A
Here, n = 4

∴\det2A=2^4\detA

⇒\det A={\det2A}/2^4=192/16=12

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