If A is an invertible matrix such tha...

If `A` is an invertible matrix such that `|A^(-1)|=2` , find the value of `|A|` .

Verified by Experts

We Know that `A^(-1)=1/A`
thus,`|A|=1/(|A|)^(-1)`
OR `|A|=1/2`

Similar Questions

Explore conceptually related problems

If A is a invertible matrix of order 4 then |A^(-1)|=

If A is an invertible square matrix then |A^(-1)| =?

If a is a square matrix of order 3 such that A^2 = 2A then find the value of |A|

If A is an invertible matrix of order 3xx3 such that |A|=2. Then,find adj(adjA).

If A is an invertible matrix and B is a matrix, then

If A is an invertible matrix and A^(-1)=[(3,5),(5,6)] then A=?

If A is a square matrix such that A^(2)=1, then find the simplified value of (A-1)^(3)+(A+1)^(3)-7A

If A is an invertible matrix of order 2, then det (A^(-1)) is equal to

If A is an invertible matrix of order 3 and |A|=5, then find |adjA|.

If [{:(1,-3,2),(2,-8,5),(4,2, lamda):}] is not an invertible matrix, then what is the value of lamda