If A=[(a,0,0),(0,a,0),(0,0,a)], then the...

If `A=[(a,0,0),(0,a,0),(0,0,a)]`, then the value of |A| |adj A| is:

A

`a^3`

B

`a^6`

C

`a^9`

D

`a^(27)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If A=[(b,0,0),(0,b,0),(0,0,b)] then the value of |A||adjA| is

If {:A=[(a,0,0),(0,a,0),(0,0,a)]:} , then the value of abs(adjA) , is

If A=[(2,0,0),(0,2,0),(0,0,2)] , then find the value of A^(3) .

If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | is

If A={:[(a,0,0),(0,a,0),(0,0,a)],:}" then: "|A|*|adj.A|=

If A =[{:(2,0,0),(0,1,0),(0,0,1):}] then adj(A) =

If A is a square matrix such that A(adj A)=[(4,0,0),(0,4,0),(0,0,4)] , then (|adj (adj A)|)/(|adj A|) is equal to

If A = [(3,0,0),(0,3,0),(0,0,3)] , then |A||adj A| =...

For any square matrix of order 2, if A (adj A) = [{:(8, 0),( 0,8):}], then the value of |A| is :