Question

|A|=3 then |(2A)^-1|=​

Answer 1

Answer:

1/6

Step-by-step explanation:

a=3

2a=6

(6)^-1

1/6.

Answer 2

Answer:

Step-by-step explanation:

Given

|A|=3

and we know $det |A|=det|\frac{1}{A}|$

$|cA|=c^n|A|$ where

c= constant

n= Rank of matrix

Considering rank of matrix to be 2

$|2A^{-1}|=\frac{1}{2^2}\times \frac{1}{3}=\frac{1}{12}$

For rank n=3

$|2A^{-1}|=\frac{1}{2^3}\times \frac{1}{3}=\frac{1}{24}$