Question

if A is square matrix of order 3×3 such that det A = 3 then find det of A. adj A

Answer 1

Answer:

Step-by-step explanation:

det(A adj A)=(det A)^((n-2)^2),

where n is order of matrix

So,here answer is 3 only,

hope you understood.

Answer 2

Answer:

Consider the following identity A(adjA)=∣A∣I. Thus comparing it with the above equation gives us ∣A∣=10

Now ∣adjA∣=∣A∣

n−1

where n is the order of the square matrix.

Here 'n' is 3, therefore, ∣adjA∣=∣A∣

3−1

=∣A∣

2

=10

2

=100.

Step-by-step explanation:

hopes it helps