Question

3. If A is a 3 x 3 non singular matrix and
A] = 3 then |(2A)" =
(B) 24
(D) None of these​

Answer 1

Answer:

det(2A) = 24

Step-by-step explanation:

We know that

If A is n x n matrix then

det(kA) = k^n (det(A))

So

If A is the matrix such that

det(A) = 3

Then

det(2A) = det(2A) = 2³ det(A)

Putting det(A) = 3 we get

det(2A) = 8(3) = 24

Hence

det(2A) = 24

Thus option B = 24 is the correct answer.